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115484352 = 2632632287
BaseRepresentation
bin1101110001000…
…10011011000000
322001022012202020
412320202123000
5214030444402
615243121440
72601413034
oct670423300
9261265666
10115484352
115a208115
1232813280
131ac05749
14114a21c4
15a2128bc
hex6e226c0

115484352 has 56 divisors (see below), whose sum is σ = 306848256. Its totient is φ = 38331648.

The previous prime is 115484279. The next prime is 115484371. The reversal of 115484352 is 253484511.

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, 49353 + ... + 51639.

Almost surely, 2115484352 is an apocalyptic number.

115484352 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 115484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153424128).

115484352 is an abundant number, since it is smaller than the sum of its proper divisors (191363904).

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

115484352 is a wasteful number, since it uses less digits than its factorization.

115484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2555 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 115484352 is about 10746.3645945966. The cubic root of 115484352 is about 486.9761747540.

The spelling of 115484352 in words is "one hundred fifteen million, four hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 2287 3156 4208 4574 6312 6861 8416 9148 12624 13722 16832 18296 25248 27444 36592 50496 54888 73184 109776 146368 219552 439104 601481 1202962 1804443 2405924 3608886 4811848 7217772 9623696 14435544 19247392 28871088 38494784 57742176 115484352