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248724280 = 23571752253
BaseRepresentation
bin11101101001100…
…11101100111000
3122100000111120101
432310303230320
51002133134110
640403005144
76110056450
oct1664635470
9570014511
10248724280
11118442262
126b3697b4
133c6b6b3c
1425066d60
1516c8113a
hexed33b38

248724280 has 64 divisors (see below), whose sum is σ = 677211840. Its totient is φ = 80259072.

The previous prime is 248724251. The next prime is 248724299. The reversal of 248724280 is 82427842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21367 + ... + 30886.

It is an arithmetic number, because the mean of its divisors is an integer number (10581435).

Almost surely, 2248724280 is an apocalyptic number.

248724280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248724280 is an abundant number, since it is smaller than the sum of its proper divisors (428487560).

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

248724280 is a wasteful number, since it uses less digits than its factorization.

248724280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52288 (or 52284 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 248724280 is about 15770.9948956938. The cubic root of 248724280 is about 628.8871594655.

The spelling of 248724280 in words is "two hundred forty-eight million, seven hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 52253 104506 209012 261265 365771 418024 522530 731542 888301 1045060 1463084 1776602 1828855 2090120 2926168 3553204 3657710 4441505 6218107 7106408 7315420 8883010 12436214 14630840 17766020 24872428 31090535 35532040 49744856 62181070 124362140 248724280