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675752064 = 27313135367
BaseRepresentation
bin101000010001110…
…010100010000000
31202002112202120020
4220101302202000
52340443031224
6151015413440
722513540431
oct5021624200
91662482506
10675752064
11317498589
1216a384280
13a9ccc5c0
1465a65488
153e4d2c79
hex28472880

675752064 has 64 divisors (see below), whose sum is σ = 1933055040. Its totient is φ = 207922176.

The previous prime is 675752059. The next prime is 675752117. The reversal of 675752064 is 460257576.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62692 + ... + 72675.

It is an arithmetic number, because the mean of its divisors is an integer number (30203985).

Almost surely, 2675752064 is an apocalyptic number.

675752064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

675752064 is an abundant number, since it is smaller than the sum of its proper divisors (1257302976).

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

675752064 is a wasteful number, since it uses less digits than its factorization.

675752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135397 (or 135385 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 675752064 is about 25995.2315627309. The cubic root of 675752064 is about 877.5309855050.

The spelling of 675752064 in words is "six hundred seventy-five million, seven hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 135367 270734 406101 541468 812202 1082936 1624404 1759771 2165872 3248808 3519542 4331744 5279313 6497616 7039084 8663488 10558626 12995232 14078168 17326976 21117252 25990464 28156336 42234504 51980928 56312672 84469008 112625344 168938016 225250688 337876032 675752064