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4294752 = 253721183
BaseRepresentation
bin10000011000100001100000
322002012021220
4100120201200
52044413002
6232015040
751335100
oct20304140
98065256
104294752
112473790
121531480
13b74a97
147db200
1559c7bc
hex418860

4294752 has 144 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 1102080.

The previous prime is 4294751. The next prime is 4294753. The reversal of 4294752 is 2574924.

It is an interprime number because it is at equal distance from previous prime (4294751) and next prime (4294753).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51703 + ... + 51785.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

Almost surely, 24294752 is an apocalyptic number.

4294752 is a gapful number since it is divisible by the number (42) 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 4294752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

4294752 is an abundant number, since it is smaller than the sum of its proper divisors (10184160).

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

4294752 is a wasteful number, since it uses less digits than its factorization.

4294752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 4294752 is about 2072.3783438359. The cubic root of 4294752 is about 162.5471516030.

The spelling of 4294752 in words is "four million, two hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 83 84 88 96 98 112 132 147 154 166 168 176 196 224 231 249 264 294 308 332 336 352 392 462 498 528 539 581 588 616 664 672 784 913 924 996 1056 1078 1162 1176 1232 1328 1568 1617 1743 1826 1848 1992 2156 2324 2352 2464 2656 2739 3234 3486 3652 3696 3984 4067 4312 4648 4704 5478 6391 6468 6972 7304 7392 7968 8134 8624 9296 10956 12201 12782 12936 13944 14608 16268 17248 18592 19173 21912 24402 25564 25872 27888 29216 32536 38346 43824 44737 48804 51128 51744 55776 65072 76692 87648 89474 97608 102256 130144 134211 153384 178948 195216 204512 268422 306768 357896 390432 536844 613536 715792 1073688 1431584 2147376 4294752