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249992088 = 233412391063
BaseRepresentation
bin11101110011010…
…01001110011000
3122102101220200020
432321221032120
51002444221323
640450110440
76123616623
oct1671511630
9572356606
10249992088
11119128835
126b87b420
133ca3bc18
14252b6dba
1516e31ae3
hexee69398

249992088 has 64 divisors (see below), whose sum is σ = 643507200. Its totient is φ = 80881920.

The previous prime is 249992087. The next prime is 249992111. The reversal of 249992088 is 880299942.

It is a self number, because there is not a number n which added to its sum of digits gives 249992088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249992081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234645 + ... + 235707.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2249992088 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 249992088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

249992088 is an abundant number, since it is smaller than the sum of its proper divisors (393515112).

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

249992088 is a wasteful number, since it uses less digits than its factorization.

249992088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 249992088 is about 15811.1380994538. The cubic root of 249992088 is about 629.9538792138.

The spelling of 249992088 in words is "two hundred forty-nine million, nine hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 239 246 328 478 492 717 956 984 1063 1434 1912 2126 2868 3189 4252 5736 6378 8504 9799 12756 19598 25512 29397 39196 43583 58794 78392 87166 117588 130749 174332 235176 254057 261498 348664 508114 522996 762171 1016228 1045992 1524342 2032456 3048684 6097368 10416337 20832674 31249011 41665348 62498022 83330696 124996044 249992088