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64796032 = 277210331
BaseRepresentation
bin1111011100101…
…1010110000000
311111220222110001
43313023112000
5113041433112
610232445344
71414520500
oct367132600
9144828401
1064796032
1133637244
1219849854
1310568c62
148869a00
155a4dc57
hex3dcb580

64796032 has 48 divisors (see below), whose sum is σ = 150175620. Its totient is φ = 27767040.

The previous prime is 64796029. The next prime is 64796047. The reversal of 64796032 is 23069746.

64796032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64795982 and 64796000.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1107 + ... + 11437.

Almost surely, 264796032 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 64796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75087810).

64796032 is an abundant number, since it is smaller than the sum of its proper divisors (85379588).

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

64796032 is a wasteful number, since it uses less digits than its factorization.

64796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 64796032 is about 8049.5982508446. The cubic root of 64796032 is about 401.6515713945.

The spelling of 64796032 in words is "sixty-four million, seven hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 10331 20662 41324 72317 82648 144634 165296 289268 330592 506219 578536 661184 1012438 1157072 1322368 2024876 2314144 4049752 4628288 8099504 9256576 16199008 32398016 64796032