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64676736 = 2732232441
BaseRepresentation
bin1111011010111…
…0001110000000
311111200220210200
43312232032000
5113024123421
610230125200
71413512625
oct366561600
9144626720
1064676736
1133565653
12197b0800
1310526877
14883834c
155a28726
hex3dae380

64676736 has 96 divisors (see below), whose sum is σ = 194285520. Its totient is φ = 20613120.

The previous prime is 64676719. The next prime is 64676737. The reversal of 64676736 is 63767646.

64676736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×646767362 = 8366160359227392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64676691 and 64676700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64676737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25276 + ... + 27716.

Almost surely, 264676736 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 64676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97142760).

64676736 is an abundant number, since it is smaller than the sum of its proper divisors (129608784).

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

64676736 is a wasteful number, since it uses less digits than its factorization.

64676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2469 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 64676736 is about 8042.1847777827. The cubic root of 64676736 is about 401.4049263444.

It can be divided in two parts, 6467 and 6736, that added together give a triangular number (13203 = T162).

The spelling of 64676736 in words is "sixty-four million, six hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2441 2944 3312 4416 4882 6624 7323 8832 9764 13248 14646 19528 21969 26496 29292 39056 43938 56143 58584 78112 87876 112286 117168 156224 168429 175752 224572 234336 312448 336858 351504 449144 468672 505287 673716 703008 898288 937344 1010574 1347432 1406016 1796576 2021148 2694864 2812032 3593152 4042296 5389728 7186304 8084592 10779456 16169184 21558912 32338368 64676736