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248968068 = 223314011669
BaseRepresentation
bin11101101011011…
…11001110000100
3122100110212222120
432311233032010
51002213434233
640412125540
76112123266
oct1665571604
9570425876
10248968068
11118599438
126b4668b0
133c770aab
14250cbb36
1516ccd4b3
hexed6f384

248968068 has 48 divisors (see below), whose sum is σ = 601520640. Its totient is φ = 80064000.

The previous prime is 248968067. The next prime is 248968073. The reversal of 248968068 is 860869842.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 248968068.

It is not an unprimeable number, because it can be changed into a prime (248968063) 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, 148338 + ... + 150006.

It is an arithmetic number, because the mean of its divisors is an integer number (12531680).

Almost surely, 2248968068 is an apocalyptic number.

It is an amenable number.

248968068 is an abundant number, since it is smaller than the sum of its proper divisors (352552572).

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

248968068 is a wasteful number, since it uses less digits than its factorization.

248968068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 248968068 is about 15778.7220014803. The cubic root of 248968068 is about 629.0925610442.

The spelling of 248968068 in words is "two hundred forty-eight million, nine hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 401 802 1203 1604 1669 2406 3338 4812 5007 6676 10014 12431 20028 24862 37293 49724 51739 74586 103478 149172 155217 206956 310434 620868 669269 1338538 2007807 2677076 4015614 8031228 20747339 41494678 62242017 82989356 124484034 248968068