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64025376 = 25323107271
BaseRepresentation
bin1111010000111…
…1001100100000
311110110211022020
43310033030200
5112342303001
610204141440
71405130622
oct364171440
9143424266
1064025376
1133160238
1219537880
131035924c
148708c12
15594a736
hex3d0f320

64025376 has 96 divisors (see below), whose sum is σ = 177666048. Its totient is φ = 20148480.

The previous prime is 64025369. The next prime is 64025393. The reversal of 64025376 is 67352046.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236121 + ... + 236391.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688).

Almost surely, 264025376 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 64025376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88833024).

64025376 is an abundant number, since it is smaller than the sum of its proper divisors (113640672).

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

64025376 is a wasteful number, since it uses less digits than its factorization.

64025376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 64025376 is about 8001.5858428189. The cubic root of 64025376 is about 400.0528596810.

The spelling of 64025376 in words is "sixty-four million, twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 107 138 184 214 271 276 321 368 428 542 552 642 736 813 856 1084 1104 1284 1626 1712 2168 2208 2461 2568 3252 3424 4336 4922 5136 6233 6504 7383 8672 9844 10272 12466 13008 14766 18699 19688 24932 26016 28997 29532 37398 39376 49864 57994 59064 74796 78752 86991 99728 115988 118128 149592 173982 199456 231976 236256 299184 347964 463952 598368 666931 695928 927904 1333862 1391856 2000793 2667724 2783712 4001586 5335448 8003172 10670896 16006344 21341792 32012688 64025376