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669519072 = 25325993881
BaseRepresentation
bin100111111010000…
…000110011100000
31201122211002111200
4213322000303200
52332344102242
6150234041200
722406550435
oct4772006340
91648732450
10669519072
11313a20652
12168279200
13a8929541
1464cc1b8c
153dba104c
hex27e80ce0

669519072 has 72 divisors (see below), whose sum is σ = 1907614800. Its totient is φ = 222743040.

The previous prime is 669519061. The next prime is 669519091. The reversal of 669519072 is 270915966.

It is a happy number.

669519072 is a `hidden beast` number, since 6 + 69 + 519 + 0 + 72 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 170572 + ... + 174452.

It is an arithmetic number, because the mean of its divisors is an integer number (26494650).

Almost surely, 2669519072 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 669519072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953807400).

669519072 is an abundant number, since it is smaller than the sum of its proper divisors (1238095728).

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

669519072 is a wasteful number, since it uses less digits than its factorization.

669519072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 669519072 is about 25875.0666086099. The cubic root of 669519072 is about 874.8245948265.

The spelling of 669519072 in words is "six hundred sixty-nine million, five hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 599 1198 1797 2396 3594 3881 4792 5391 7188 7762 9584 10782 11643 14376 15524 19168 21564 23286 28752 31048 34929 43128 46572 57504 62096 69858 86256 93144 124192 139716 172512 186288 279432 372576 558864 1117728 2324719 4649438 6974157 9298876 13948314 18597752 20922471 27896628 37195504 41844942 55793256 74391008 83689884 111586512 167379768 223173024 334759536 669519072