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667520928 = 25327929339
BaseRepresentation
bin100111110010011…
…000111110100000
31201112001120120100
4213302120332200
52331341132203
6150123142400
722353556104
oct4762307640
91645046510
10667520928
11312886398
12167674a00
13a83a9bc9
1464921904
153d908ea3
hex27c98fa0

667520928 has 72 divisors (see below), whose sum is σ = 1922356800. Its totient is φ = 219682944.

The previous prime is 667520879. The next prime is 667520947. The reversal of 667520928 is 829025766.

667520928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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, 8083 + ... + 37421.

It is an arithmetic number, because the mean of its divisors is an integer number (26699400).

Almost surely, 2667520928 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 667520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961178400).

667520928 is an abundant number, since it is smaller than the sum of its proper divisors (1254835872).

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

667520928 is a wasteful number, since it uses less digits than its factorization.

667520928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29434 (or 29423 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 667520928 is about 25836.4263782745. The cubic root of 667520928 is about 873.9534384794.

The spelling of 667520928 in words is "six hundred sixty-seven million, five hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 29339 58678 88017 117356 176034 234712 264051 352068 469424 528102 704136 938848 1056204 1408272 2112408 2317781 2816544 4224816 4635562 6953343 8449632 9271124 13906686 18542248 20860029 27813372 37084496 41720058 55626744 74168992 83440116 111253488 166880232 222506976 333760464 667520928