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248412680 = 23513147407
BaseRepresentation
bin11101100111001…
…11101000001000
3122022102200010122
432303213220020
51002043201210
640352202412
76104321135
oct1663475010
9568380118
10248412680
1111824a13a
126b239408
133c608069
1424dc558c
1516c1db55
hexece7a08

248412680 has 32 divisors (see below), whose sum is σ = 563207040. Its totient is φ = 98604480.

The previous prime is 248412611. The next prime is 248412691. The reversal of 248412680 is 86214842.

248412680 is digitally balanced in base 2, 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 248412680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18464 + ... + 28943.

It is an arithmetic number, because the mean of its divisors is an integer number (17600220).

Almost surely, 2248412680 is an apocalyptic number.

248412680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248412680 is an abundant number, since it is smaller than the sum of its proper divisors (314794360).

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

248412680 is a wasteful number, since it uses less digits than its factorization.

248412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47549 (or 47545 counting only the distinct ones).

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

The square root of 248412680 is about 15761.1129048681. The cubic root of 248412680 is about 628.6244279396.

The spelling of 248412680 in words is "two hundred forty-eight million, four hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 47407 94814 189628 237035 379256 474070 948140 1896280 6210317 12420634 24841268 31051585 49682536 62103170 124206340 248412680