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238512768 = 2731347779
BaseRepresentation
bin11100011011101…
…10101010000000
3121121210201000020
432031312222000
5442024402033
635400053440
75624216334
oct1615665200
9547721006
10238512768
111126a819a
1267a64280
133a54cc20
14239697c4
1515e156b3
hexe376a80

238512768 has 64 divisors (see below), whose sum is σ = 682298400. Its totient is φ = 73387008.

The previous prime is 238512749. The next prime is 238512797. The reversal of 238512768 is 867215832.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18898 + ... + 28881.

Almost surely, 2238512768 is an apocalyptic number.

It is an amenable number.

238512768 is an abundant number, since it is smaller than the sum of its proper divisors (443785632).

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

238512768 is a wasteful number, since it uses less digits than its factorization.

238512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47809 (or 47797 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 238512768 is about 15443.8585852111. The cubic root of 238512768 is about 620.1601806038.

The spelling of 238512768 in words is "two hundred thirty-eight million, five hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 47779 95558 143337 191116 286674 382232 573348 621127 764464 1146696 1242254 1528928 1863381 2293392 2484508 3057856 3726762 4586784 4969016 6115712 7453524 9173568 9938032 14907048 18347136 19876064 29814096 39752128 59628192 79504256 119256384 238512768