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64909056 = 283223379
BaseRepresentation
bin1111011110011…
…0111100000000
311112010201111010
43313212330000
5113104042211
610235120520
71415501142
oct367467400
9145121433
1064909056
1133704153
12198a3140
13105a8534
148898c92
155a724a6
hex3de6f00

64909056 has 72 divisors (see below), whose sum is σ = 173985280. Its totient is φ = 21482496.

The previous prime is 64909051. The next prime is 64909067. The reversal of 64909056 is 65090946.

It is a super-2 number, since 2×649090562 = 8426371101622272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64909051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171075 + ... + 171453.

Almost surely, 264909056 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 64909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86992640).

64909056 is an abundant number, since it is smaller than the sum of its proper divisors (109076224).

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

64909056 is a wasteful number, since it uses less digits than its factorization.

64909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 64909056 is about 8056.6156666432. The cubic root of 64909056 is about 401.8849699344.

The spelling of 64909056 in words is "sixty-four million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 379 384 446 669 758 768 892 1137 1338 1516 1784 2274 2676 3032 3568 4548 5352 6064 7136 9096 10704 12128 14272 18192 21408 24256 28544 36384 42816 48512 57088 72768 84517 85632 97024 145536 169034 171264 253551 291072 338068 507102 676136 1014204 1352272 2028408 2704544 4056816 5409088 8113632 10818176 16227264 21636352 32454528 64909056