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248943408 = 2437740903
BaseRepresentation
bin11101101011010…
…01001100110000
3122100102122011020
432311221030300
51002212142113
640411415440
76111661350
oct1665511460
9570378136
10248943408
1111858195a
126b454580
133c7627bc
14250c2b60
1516cc6023
hexed69330

248943408 has 40 divisors (see below), whose sum is σ = 734976768. Its totient is φ = 71126592.

The previous prime is 248943397. The next prime is 248943433. The reversal of 248943408 is 804349842.

248943408 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 248943408.

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, 370116 + ... + 370787.

Almost surely, 2248943408 is an apocalyptic number.

248943408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248943408 is an abundant number, since it is smaller than the sum of its proper divisors (486033360).

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

248943408 is a wasteful number, since it uses less digits than its factorization.

248943408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740921 (or 740915 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248943408 is about 15777.9405500211. The cubic root of 248943408 is about 629.0717900608.

The spelling of 248943408 in words is "two hundred forty-eight million, nine hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 740903 1481806 2222709 2963612 4445418 5186321 5927224 8890836 10372642 11854448 15558963 17781672 20745284 31117926 35563344 41490568 62235852 82981136 124471704 248943408