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65216008 = 231113109523
BaseRepresentation
bin1111100011000…
…1111000001000
311112201022112201
43320301320020
5113143403013
610245445544
71421220064
oct370617010
9145638481
1065216008
11338a3830
1219a108b4
1310685170
148938aa4
155ad33dd
hex3e31e08

65216008 has 64 divisors (see below), whose sum is σ = 145252800. Its totient is φ = 27060480.

The previous prime is 65215967. The next prime is 65216009. The reversal of 65216008 is 80061256.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (65216009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124435 + ... + 124957.

It is an arithmetic number, because the mean of its divisors is an integer number (2269575).

Almost surely, 265216008 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 65216008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72626400).

65216008 is an abundant number, since it is smaller than the sum of its proper divisors (80036792).

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

65216008 is a wasteful number, since it uses less digits than its factorization.

65216008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 65216008 is about 8075.6428846253. The cubic root of 65216008 is about 402.5174725900.

The spelling of 65216008 in words is "sixty-five million, two hundred sixteen thousand, eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 109 143 218 286 436 523 572 872 1046 1144 1199 1417 2092 2398 2834 4184 4796 5668 5753 6799 9592 11336 11506 13598 15587 23012 27196 31174 46024 54392 57007 62348 74789 114014 124696 149578 228028 299156 456056 598312 627077 741091 1254154 1482182 2508308 2964364 5016616 5928728 8152001 16304002 32608004 65216008