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249379368 = 23374731583
BaseRepresentation
bin11101101110100…
…11101000101000
3122101020210011220
432313103220220
51002320114433
640425022040
76115455360
oct1667235050
9571223156
10249379368
1111884a457
126b624920
133c886074
14251979a0
1516d602b3
hexedd3a28

249379368 has 64 divisors (see below), whose sum is σ = 727695360. Its totient is φ = 69733056.

The previous prime is 249379367. The next prime is 249379387. The reversal of 249379368 is 863973942.

249379368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249379368.

It is not an unprimeable number, because it can be changed into a prime (249379367) 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, 7896 + ... + 23687.

It is an arithmetic number, because the mean of its divisors is an integer number (11370240).

Almost surely, 2249379368 is an apocalyptic number.

249379368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249379368 is an abundant number, since it is smaller than the sum of its proper divisors (478315992).

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

249379368 is a wasteful number, since it uses less digits than its factorization.

249379368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31646 (or 31642 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 249379368 is about 15791.7499980211. The cubic root of 249379368 is about 629.4387947583.

The spelling of 249379368 in words is "two hundred forty-nine million, three hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 31583 63166 94749 126332 189498 221081 252664 378996 442162 663243 757992 884324 1326486 1484401 1768648 2652972 2968802 4453203 5305944 5937604 8906406 10390807 11875208 17812812 20781614 31172421 35625624 41563228 62344842 83126456 124689684 249379368