Search a number
-
+
4364245728 = 253229975387
BaseRepresentation
bin1000001000010000…
…10001101011100000
3102021011002122122200
410010020101223200
532414221330403
62001020533200
7213102322323
oct40410215340
912234078580
104364245728
11193a559457
12a196b1200
13547224b2b
142d588c7ba
151a8224ca3
hex104211ae0

4364245728 has 144 divisors (see below), whose sum is σ = 12973549680. Its totient is φ = 1389846528.

The previous prime is 4364245693. The next prime is 4364245733. The reversal of 4364245728 is 8275424634.

It is a happy number.

4364245728 is a `hidden beast` number, since 4 + 36 + 42 + 4 + 572 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807451 + ... + 812837.

It is an arithmetic number, because the mean of its divisors is an integer number (90094095).

Almost surely, 24364245728 is an apocalyptic number.

4364245728 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 4364245728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486774840).

4364245728 is an abundant number, since it is smaller than the sum of its proper divisors (8609303952).

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

4364245728 is a wasteful number, since it uses less digits than its factorization.

4364245728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5518 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 4364245728 is about 66062.4381021470. The cubic root of 4364245728 is about 1634.1919436614.

The spelling of 4364245728 in words is "four billion, three hundred sixty-four million, two hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 97 116 144 174 194 232 261 288 291 348 388 464 522 582 696 776 873 928 1044 1164 1392 1552 1746 2088 2328 2784 2813 3104 3492 4176 4656 5387 5626 6984 8352 8439 9312 10774 11252 13968 16161 16878 21548 22504 25317 27936 32322 33756 43096 45008 48483 50634 64644 67512 86192 90016 96966 101268 129288 135024 156223 172384 193932 202536 258576 270048 312446 387864 405072 468669 517152 522539 624892 775728 810144 937338 1045078 1249784 1406007 1551456 1567617 1874676 2090156 2499568 2812014 3135234 3749352 4180312 4702851 4999136 5624028 6270468 7498704 8360624 9405702 11248056 12540936 14997408 15153631 16721248 18811404 22496112 25081872 30307262 37622808 44992224 45460893 50163744 60614524 75245616 90921786 121229048 136382679 150491232 181843572 242458096 272765358 363687144 484916192 545530716 727374288 1091061432 1454748576 2182122864 4364245728