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64297152 = 263479157
BaseRepresentation
bin1111010101000…
…1100011000000
311110222122010000
43311101203000
5112430002102
610214040000
71410342153
oct365214300
9143878100
1064297152
1133326447
1219649000
1310422b6a
148779c9a
1559a101c
hex3d518c0

64297152 has 140 divisors (see below), whose sum is σ = 194238880. Its totient is φ = 21026304.

The previous prime is 64297141. The next prime is 64297199. The reversal of 64297152 is 25179246.

64297152 is a `hidden beast` number, since 642 + 9 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×642971522 = 8268247510622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409458 + ... + 409614.

Almost surely, 264297152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97119440).

64297152 is an abundant number, since it is smaller than the sum of its proper divisors (129941728).

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

64297152 is a wasteful number, since it uses less digits than its factorization.

64297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 64297152 is about 8018.5504924519. The cubic root of 64297152 is about 400.6181110216.

The spelling of 64297152 in words is "sixty-four million, two hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 157 158 162 192 216 237 288 314 316 324 432 471 474 576 628 632 648 711 864 942 948 1256 1264 1296 1413 1422 1728 1884 1896 2133 2512 2528 2592 2826 2844 3768 3792 4239 4266 5024 5056 5184 5652 5688 6399 7536 7584 8478 8532 10048 11304 11376 12403 12717 12798 15072 15168 16956 17064 22608 22752 24806 25434 25596 30144 33912 34128 37209 45216 45504 49612 50868 51192 67824 68256 74418 90432 99224 101736 102384 111627 135648 136512 148836 198448 203472 204768 223254 271296 297672 334881 396896 406944 409536 446508 595344 669762 793792 813888 893016 1004643 1190688 1339524 1786032 2009286 2381376 2679048 3572064 4018572 5358096 7144128 8037144 10716192 16074288 21432384 32148576 64297152