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249571968 = 2731738231
BaseRepresentation
bin11101110000000…
…10101010000000
3122101121120101020
432320002222000
51002342300333
640433105440
76120220032
oct1670025200
9571546336
10249571968
11118971128
126b6b8280
133c922929
1425207c52
1516d9c3b3
hexee02a80

249571968 has 64 divisors (see below), whose sum is σ = 701939520. Its totient is φ = 78295040.

The previous prime is 249571877. The next prime is 249571969. The reversal of 249571968 is 869175942.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2495719682 = 124572334422786048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 249571968.

It is not an unprimeable number, because it can be changed into a prime (249571969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12588 + ... + 25643.

It is an arithmetic number, because the mean of its divisors is an integer number (10967805).

Almost surely, 2249571968 is an apocalyptic number.

It is an amenable number.

249571968 is an abundant number, since it is smaller than the sum of its proper divisors (452367552).

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

249571968 is a wasteful number, since it uses less digits than its factorization.

249571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38265 (or 38253 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 249571968 is about 15797.8469419095. The cubic root of 249571968 is about 629.6007952169.

The spelling of 249571968 in words is "two hundred forty-nine million, five hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 38231 76462 114693 152924 229386 305848 458772 611696 649927 917544 1223392 1299854 1835088 1949781 2446784 2599708 3670176 3899562 4893568 5199416 7340352 7799124 10398832 14680704 15598248 20797664 31196496 41595328 62392992 83190656 124785984 249571968