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248102864 = 24101153529
BaseRepresentation
bin11101100100110…
…11111111010000
3122021211221010222
432302123333100
51002003242424
640341412212
76101560652
oct1662337720
9567757128
10248102864
11118058399
126b10a068
133c52a039
1424d446d2
1516babe5e
hexec9bfd0

248102864 has 20 divisors (see below), whose sum is σ = 485461860. Its totient is φ = 122822400.

The previous prime is 248102843. The next prime is 248102923. The reversal of 248102864 is 468201842.

It can be written as a sum of positive squares in 2 ways, for example, as 208513600 + 39589264 = 14440^2 + 6292^2 .

It is a super-2 number, since 2×2481028642 = 123110062250004992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75149 + ... + 78380.

It is an arithmetic number, because the mean of its divisors is an integer number (24273093).

Almost surely, 2248102864 is an apocalyptic number.

It is an amenable number.

248102864 is a deficient number, since it is larger than the sum of its proper divisors (237358996).

248102864 is a wasteful number, since it uses less digits than its factorization.

248102864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153638 (or 153632 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 248102864 is about 15751.2813447034. The cubic root of 248102864 is about 628.3629827131.

The spelling of 248102864 in words is "two hundred forty-eight million, one hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 101 202 404 808 1616 153529 307058 614116 1228232 2456464 15506429 31012858 62025716 124051432 248102864