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925064064 = 273529741
BaseRepresentation
bin110111001000110…
…101101110000000
32101110200010100000
4313020311232000
53343304022224
6231443200000
731631625531
oct6710655600
92343603300
10925064064
114351a1361
12219976000
13119860ab2
148ac02688
155632d0c9
hex37235b80

925064064 has 96 divisors (see below), whose sum is σ = 2760652440. Its totient is φ = 308344320.

The previous prime is 925064059. The next prime is 925064123. The reversal of 925064064 is 460460529.

925064064 is a `hidden beast` number, since 9 + 2 + 5 + 0 + 640 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16234 + ... + 45974.

Almost surely, 2925064064 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 925064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380326220).

925064064 is an abundant number, since it is smaller than the sum of its proper divisors (1835588376).

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

925064064 is an equidigital number, since it uses as much as digits as its factorization.

925064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29770 (or 29746 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 925064064 is about 30414.8658389282. The cubic root of 925064064 is about 974.3700735792.

The spelling of 925064064 in words is "nine hundred twenty-five million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 29741 31104 59482 89223 118964 178446 237928 267669 356892 475856 535338 713784 803007 951712 1070676 1427568 1606014 1903424 2141352 2409021 2855136 3212028 3806848 4282704 4818042 5710272 6424056 7227063 8565408 9636084 11420544 12848112 14454126 17130816 19272168 25696224 28908252 34261632 38544336 51392448 57816504 77088672 102784896 115633008 154177344 231266016 308354688 462532032 925064064