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3252753312 = 25353639299
BaseRepresentation
bin1100000111100001…
…0001001110100000
322101200121222200220
43001320101032200
523130201101222
61254433443040
7143414642544
oct30170211640
98350558626
103252753312
11141a104786
12769410480
133cab7c203
1422bddba24
1514086db5c
hexc1e113a0

3252753312 has 48 divisors (see below), whose sum is σ = 8699594400. Its totient is φ = 1063791872.

The previous prime is 3252753289. The next prime is 3252753341. The reversal of 3252753312 is 2133572523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×32527533123 (a number of 30 digits) contains 333 as substring.

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, 314562 + ... + 324737.

It is an arithmetic number, because the mean of its divisors is an integer number (181241550).

Almost surely, 23252753312 is an apocalyptic number.

3252753312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3252753312 is an abundant number, since it is smaller than the sum of its proper divisors (5446841088).

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

3252753312 is a wasteful number, since it uses less digits than its factorization.

3252753312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639365 (or 639357 counting only the distinct ones).

The product of its digits is 37800, while the sum is 33.

The square root of 3252753312 is about 57032.9142864013. The cubic root of 3252753312 is about 1481.6662072133. Note that the first 3 decimals are identical.

The spelling of 3252753312 in words is "three billion, two hundred fifty-two million, seven hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 639299 1278598 1917897 2557196 3835794 5114392 7671588 10228784 15343176 20457568 30686352 33882847 61372704 67765694 101648541 135531388 203297082 271062776 406594164 542125552 813188328 1084251104 1626376656 3252753312