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64236276 = 223213294733
BaseRepresentation
bin1111010100001…
…0101011110100
311110212112121100
43311002223310
5112421030101
610212450100
71406666526
oct365025364
9143775540
1064236276
1133294735
1219619930
1310401240
148761a16
15598ce86
hex3d42af4

64236276 has 72 divisors (see below), whose sum is σ = 180933480. Its totient is φ = 19079424.

The previous prime is 64236253. The next prime is 64236301. The reversal of 64236276 is 67263246.

It is a happy number.

64236276 is a `hidden beast` number, since 6 + 4 + 23 + 627 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 64160100 = 276^2 + 8010^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 64236276.

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, 11206 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (2512965).

Almost surely, 264236276 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 64236276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90466740).

64236276 is an abundant number, since it is smaller than the sum of its proper divisors (116697204).

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

64236276 is a wasteful number, since it uses less digits than its factorization.

64236276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4780 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 64236276 is about 8014.7536456213. The cubic root of 64236276 is about 400.4916371514.

The spelling of 64236276 in words is "sixty-four million, two hundred thirty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 4733 6786 9466 13572 14199 18932 28398 42597 56796 61529 85194 123058 137257 170388 184587 246116 274514 369174 411771 549028 553761 738348 823542 1107522 1235313 1647084 1784341 2215044 2470626 3568682 4941252 5353023 7137364 10706046 16059069 21412092 32118138 64236276