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3652985376 = 253283152819
BaseRepresentation
bin1101100110111100…
…0010001000100000
3100102120201212212200
43121233002020200
524440131013001
61402252053200
7156344602065
oct33157021040
910376655780
103652985376
111605018a87
1285b464200
13462a72311
14269222c6c
15165a7b086
hexd9bc2220

3652985376 has 72 divisors (see below), whose sum is σ = 10513404720. Its totient is φ = 1202983296.

The previous prime is 3652985341. The next prime is 3652985383. The reversal of 3652985376 is 6735892563.

It is a happy number.

3652985376 is a `hidden beast` number, since 3 + 6 + 529 + 85 + 37 + 6 = 666.

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

It is a super-2 number, since 2×36529853762 = 26688604314539722752, which contains 22 as substring.

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, 52506 + ... + 100313.

It is an arithmetic number, because the mean of its divisors is an integer number (146019510).

Almost surely, 23652985376 is an apocalyptic number.

3652985376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3652985376 is an abundant number, since it is smaller than the sum of its proper divisors (6860419344).

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

3652985376 is a wasteful number, since it uses less digits than its factorization.

3652985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152918 (or 152907 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 3652985376 is about 60439.9319655474. The cubic root of 3652985376 is about 1540.1013842288.

The spelling of 3652985376 in words is "three billion, six hundred fifty-two million, nine hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 152819 305638 458457 611276 916914 1222552 1375371 1833828 2445104 2750742 3667656 4890208 5501484 7335312 11002968 12683977 14670624 22005936 25367954 38051931 44011872 50735908 76103862 101471816 114155793 152207724 202943632 228311586 304415448 405887264 456623172 608830896 913246344 1217661792 1826492688 3652985376