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3683900192 = 257791791163
BaseRepresentation
bin1101101110010011…
…1101101100100000
3100111201220112000212
43123210331230200
530021034301232
61405314433252
7160201430540
oct33344755440
910451815025
103683900192
111620513815
12869892828
134692a77cb
1426d38d320
15168635eb2
hexdb93db20

3683900192 has 96 divisors (see below), whose sum is σ = 8447846400. Its totient is φ = 1548787968.

The previous prime is 3683900183. The next prime is 3683900237. The reversal of 3683900192 is 2910093863.

It is a super-2 number, since 2×36839001922 = 27142241249235273728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3167003 + ... + 3168165.

It is an arithmetic number, because the mean of its divisors is an integer number (87998400).

Almost surely, 23683900192 is an apocalyptic number.

3683900192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3683900192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223923200).

3683900192 is an abundant number, since it is smaller than the sum of its proper divisors (4763946208).

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

3683900192 is a wasteful number, since it uses less digits than its factorization.

3683900192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 3683900192 is about 60695.1414200511. The cubic root of 3683900192 is about 1544.4337555533.

The spelling of 3683900192 in words is "three billion, six hundred eighty-three million, nine hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 179 224 316 358 553 632 716 1106 1163 1253 1264 1432 2212 2326 2506 2528 2864 4424 4652 5012 5728 8141 8848 9304 10024 14141 16282 17696 18608 20048 28282 32564 37216 40096 56564 65128 91877 98987 113128 130256 183754 197974 208177 226256 260512 367508 395948 416354 452512 643139 735016 791896 832708 1286278 1457239 1470032 1583792 1665416 2572556 2914478 2940064 3167584 3330832 5145112 5828956 6661664 10290224 11657912 16445983 20580448 23315824 32891966 46631648 65783932 115121881 131567864 230243762 263135728 460487524 526271456 920975048 1841950096 3683900192