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102393408 = 2631341023
BaseRepresentation
bin1100001101001…
…10011001000000
321010200010100110
412012212121000
5202203042113
614054351320
72352221025
oct606463100
9233603313
10102393408
1152886757
122a35b540
13182a1020
14d85554c
158ec8bc3
hex61a6640

102393408 has 56 divisors (see below), whose sum is σ = 291762688. Its totient is φ = 31504896.

The previous prime is 102393407. The next prime is 102393409. The reversal of 102393408 is 804393201.

It is an interprime number because it is at equal distance from previous prime (102393407) and next prime (102393409).

It is not an unprimeable number, because it can be changed into a prime (102393407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18016 + ... + 23007.

It is an arithmetic number, because the mean of its divisors is an integer number (5210048).

Almost surely, 2102393408 is an apocalyptic number.

It is an amenable number.

102393408 is an abundant number, since it is smaller than the sum of its proper divisors (189369280).

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

102393408 is a wasteful number, since it uses less digits than its factorization.

102393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41051 (or 41041 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 102393408 is about 10118.9627926977. The cubic root of 102393408 is about 467.8327987711.

The spelling of 102393408 in words is "one hundred two million, three hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 41023 82046 123069 164092 246138 328184 492276 533299 656368 984552 1066598 1312736 1599897 1969104 2133196 2625472 3199794 3938208 4266392 6399588 7876416 8532784 12799176 17065568 25598352 34131136 51196704 102393408