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115878496 = 2531199587
BaseRepresentation
bin1101110100000…
…10101001100000
322002001020102011
412322002221200
5214131102441
615255402304
72604644116
oct672025140
9262036364
10115878496
115a457258
1232983394
131b012c76
1411565ab6
15a28e581
hex6e82a60

115878496 has 48 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 55693440.

The previous prime is 115878481. The next prime is 115878509. The reversal of 115878496 is 694878511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197115 + ... + 197701.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2115878496 is an apocalyptic number.

115878496 is a gapful number since it is divisible by the number (16) 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 115878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

115878496 is an abundant number, since it is smaller than the sum of its proper divisors (121203104).

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

115878496 is a wasteful number, since it uses less digits than its factorization.

115878496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

The square root of 115878496 is about 10764.6874548219. The cubic root of 115878496 is about 487.5295564811.

The spelling of 115878496 in words is "one hundred fifteen million, eight hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 199 248 398 496 587 796 992 1174 1592 2348 3184 4696 6169 6368 9392 12338 18197 18784 24676 36394 49352 72788 98704 116813 145576 197408 233626 291152 467252 582304 934504 1869008 3621203 3738016 7242406 14484812 28969624 57939248 115878496