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104850432 = 2103231367
BaseRepresentation
bin1100011111111…
…10010000000000
321022021221202100
412033332100000
5203320203212
614223150400
72412133251
oct617762000
9238257670
10104850432
1154204755
122b145400
131895149b
14dcd4b28
159311bdc
hex63fe400

104850432 has 132 divisors (see below), whose sum is σ = 313371136. Its totient is φ = 33730560.

The previous prime is 104850413. The next prime is 104850439. The reversal of 104850432 is 234058401.

It is a super-2 number, since 2×1048504322 = 21987226181173248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104850396 and 104850405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104850439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285513 + ... + 285879.

Almost surely, 2104850432 is an apocalyptic number.

104850432 is a gapful number since it is divisible by the number (12) 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 104850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156685568).

104850432 is an abundant number, since it is smaller than the sum of its proper divisors (208520704).

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

104850432 is a wasteful number, since it uses less digits than its factorization.

104850432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104850432 is about 10239.6499940184. The cubic root of 104850432 is about 471.5452864892.

The spelling of 104850432 in words is "one hundred four million, eight hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 367 372 384 496 512 558 576 734 744 768 992 1024 1101 1116 1152 1468 1488 1536 1984 2202 2232 2304 2936 2976 3072 3303 3968 4404 4464 4608 5872 5952 6606 7936 8808 8928 9216 11377 11744 11904 13212 15872 17616 17856 22754 23488 23808 26424 31744 34131 35232 35712 45508 46976 47616 52848 68262 70464 71424 91016 93952 95232 102393 105696 136524 140928 142848 182032 187904 204786 211392 273048 281856 285696 364064 375808 409572 422784 546096 563712 728128 819144 845568 1092192 1127424 1456256 1638288 1691136 2184384 2912512 3276576 3382272 4368768 5825024 6553152 8737536 11650048 13106304 17475072 26212608 34950144 52425216 104850432