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103916488 = 23139710301
BaseRepresentation
bin1100011000110…
…10001111001000
321020112111121211
412030122033020
5203100311423
614151142504
72401163344
oct614321710
9236474554
10103916488
1153726aa5
122a974a34
13186b5360
14db30624
1591ca10d
hex631a3c8

103916488 has 32 divisors (see below), whose sum is σ = 212015160. Its totient is φ = 47462400.

The previous prime is 103916479. The next prime is 103916503. The reversal of 103916488 is 884619301.

It can be written as a sum of positive squares in 4 ways, for example, as 93663684 + 10252804 = 9678^2 + 3202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103916488.

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, 4938 + ... + 15238.

Almost surely, 2103916488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103916488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106007580).

103916488 is an abundant number, since it is smaller than the sum of its proper divisors (108098672).

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

103916488 is a wasteful number, since it uses less digits than its factorization.

103916488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 103916488 is about 10193.9436922125. The cubic root of 103916488 is about 470.1410290530.

The spelling of 103916488 in words is "one hundred three million, nine hundred sixteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2522 5044 10088 10301 20602 41204 82408 133913 267826 535652 999197 1071304 1998394 3996788 7993576 12989561 25979122 51958244 103916488