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249398940 = 223571931253
BaseRepresentation
bin11101101110110…
…00011010011100
3122101021210000210
432313120122130
51002321231230
640425252420
76115566420
oct1667303234
9571253023
10249398940
1111886312a
126b634110
133c891c4b
14251a0b80
1516d65eb0
hexedd869c

249398940 has 96 divisors (see below), whose sum is σ = 840107520. Its totient is φ = 54003456.

The previous prime is 249398911. The next prime is 249398951. The reversal of 249398940 is 49893942.

It is a self number, because there is not a number n which added to its sum of digits gives 249398940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7647 + ... + 23606.

It is an arithmetic number, because the mean of its divisors is an integer number (8751120).

Almost surely, 2249398940 is an apocalyptic number.

249398940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249398940 is an abundant number, since it is smaller than the sum of its proper divisors (590708580).

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

249398940 is a wasteful number, since it uses less digits than its factorization.

249398940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31291 (or 31289 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 249398940 is about 15792.3696765242. The cubic root of 249398940 is about 629.4552610414.

The spelling of 249398940 in words is "two hundred forty-nine million, three hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 31253 62506 93759 125012 156265 187518 218771 312530 375036 437542 468795 593807 625060 656313 875084 937590 1093855 1187614 1312626 1781421 1875180 2187710 2375228 2625252 2969035 3281565 3562842 4156649 4375420 5938070 6563130 7125684 8313298 8907105 11876140 12469947 13126260 16626596 17814210 20783245 24939894 35628420 41566490 49879788 62349735 83132980 124699470 249398940