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4397269248 = 2833773823
BaseRepresentation
bin1000001100001100…
…10000000100000000
3102100110020102102000
410012012100010000
533001200103443
62004200424000
7213653112651
oct40606200400
912313212360
104397269248
111957164519
12a28778000
13551018088
142da007528
151ab0998d3
hex106190100

4397269248 has 144 divisors (see below), whose sum is σ = 13036141440. Its totient is φ = 1462081536.

The previous prime is 4397269223. The next prime is 4397269267. The reversal of 4397269248 is 8429627934.

4397269248 is a `hidden beast` number, since 4 + 397 + 2 + 6 + 9 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4397269194 and 4397269203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5342565 + ... + 5343387.

It is an arithmetic number, because the mean of its divisors is an integer number (90528760).

Almost surely, 24397269248 is an apocalyptic number.

4397269248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4397269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518070720).

4397269248 is an abundant number, since it is smaller than the sum of its proper divisors (8638872192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4397269248 is an equidigital number, since it uses as much as digits as its factorization.

4397269248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1601 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4397269248 is about 66311.9087947256. The cubic root of 4397269248 is about 1638.3034766236.

The spelling of 4397269248 in words is "four billion, three hundred ninety-seven million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 773 823 864 1152 1546 1646 1728 2304 2319 2469 3092 3292 3456 4638 4938 6184 6584 6912 6957 7407 9276 9876 12368 13168 13914 14814 18552 19752 20871 22221 24736 26336 27828 29628 37104 39504 41742 44442 49472 52672 55656 59256 74208 79008 83484 88884 98944 105344 111312 118512 148416 158016 166968 177768 197888 210688 222624 237024 296832 316032 333936 355536 445248 474048 593664 632064 636179 667872 711072 890496 948096 1272358 1335744 1422144 1780992 1896192 1908537 2544716 2671488 2844288 3817074 5089432 5342976 5688576 5725611 7634148 10178864 11451222 15268296 17176833 20357728 22902444 30536592 34353666 40715456 45804888 61073184 68707332 81430912 91609776 122146368 137414664 162861824 183219552 244292736 274829328 366439104 488585472 549658656 732878208 1099317312 1465756416 2198634624 4397269248