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249517004 = 221125371137
BaseRepresentation
bin11101101111101…
…01001111001100
3122101111202222112
432313311033030
51002334021004
640432003152
76116600552
oct1667651714
9571452875
10249517004
11118933900
126b6904b8
133c9038c9
14251d1bd2
1516d8ae6e
hexedf53cc

249517004 has 72 divisors (see below), whose sum is σ = 499522464. Its totient is φ = 108908800.

The previous prime is 249516989. The next prime is 249517049. The reversal of 249517004 is 400715942.

It is a happy number.

It is a super-3 number, since 3×2495170043 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821224 + ... + 1821360.

It is an arithmetic number, because the mean of its divisors is an integer number (6937812).

Almost surely, 2249517004 is an apocalyptic number.

It is an amenable number.

249517004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

249517004 is a wasteful number, since it uses less digits than its factorization.

249517004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 249517004 is about 15796.1072419758. The cubic root of 249517004 is about 629.5545721854.

The spelling of 249517004 in words is "two hundred forty-nine million, five hundred seventeen thousand, four".

Divisors: 1 2 4 11 22 44 53 71 106 121 137 142 212 242 274 284 484 548 583 781 1166 1507 1562 2332 3014 3124 3763 6028 6413 7261 7526 8591 9727 12826 14522 15052 16577 17182 19454 25652 29044 33154 34364 38908 41393 66308 79871 82786 106997 159742 165572 213994 319484 427988 455323 515531 878581 910646 1031062 1176967 1757162 1821292 2062124 2353934 3514324 4707868 5670841 11341682 22683364 62379251 124758502 249517004