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249043088 = 24723110247
BaseRepresentation
bin11101101100000…
…01100010010000
3122100121200220002
432312001202100
51002223334323
640413505132
76112555100
oct1666014220
9570550802
10249043088
1111863a838
126b4a21a8
133c798c98
142510b200
1516ce5828
hexed81890

249043088 has 60 divisors (see below), whose sum is σ = 579462912. Its totient is φ = 103279680.

The previous prime is 249043049. The next prime is 249043133. The reversal of 249043088 is 880340942.

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 11 ways as a sum of consecutive naturals, for example, 19181 + ... + 29427.

Almost surely, 2249043088 is an apocalyptic number.

249043088 is a gapful number since it is divisible by the number (28) 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 249043088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289731456).

249043088 is an abundant number, since it is smaller than the sum of its proper divisors (330419824).

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

249043088 is a wasteful number, since it uses less digits than its factorization.

249043088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 249043088 is about 15781.0990745258. The cubic root of 249043088 is about 629.1557415487.

The spelling of 249043088 in words is "two hundred forty-nine million, forty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 10247 12152 20494 24304 40988 71729 81976 143458 163952 286916 317657 502103 573832 635314 1004206 1147664 1270628 2008412 2223599 2541256 4016824 4447198 5082512 8033648 8894396 15565193 17788792 31130386 35577584 62260772 124521544 249043088