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64502816 = 2572311327
BaseRepresentation
bin1111011000001…
…1110000100000
311111101002020012
43312003300200
5113003042231
610222304052
71412156600
oct366036040
9144332205
1064502816
1133456a14
1219728028
1310495661
1487d0c00
1559e1e2b
hex3d83c20

64502816 has 72 divisors (see below), whose sum is σ = 152603136. Its totient is φ = 26732160.

The previous prime is 64502807. The next prime is 64502827. The reversal of 64502816 is 61820546.

It is a super-2 number, since 2×645028162 = 8321226543859712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 47945 + ... + 49271.

It is an arithmetic number, because the mean of its divisors is an integer number (2119488).

Almost surely, 264502816 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 64502816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76301568).

64502816 is an abundant number, since it is smaller than the sum of its proper divisors (88100320).

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

64502816 is a wasteful number, since it uses less digits than its factorization.

64502816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 64502816 is about 8031.3645166933. The cubic root of 64502816 is about 401.0448019296.

The spelling of 64502816 in words is "sixty-four million, five hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1327 1519 1568 1736 2654 3038 3472 5308 6076 6944 9289 10616 12152 18578 21232 24304 37156 41137 42464 48608 65023 74312 82274 130046 148624 164548 260092 287959 297248 329096 520184 575918 658192 1040368 1151836 1316384 2015713 2080736 2303672 4031426 4607344 8062852 9214688 16125704 32251408 64502816