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248625984 = 2638571511
BaseRepresentation
bin11101101000110…
…11101101000000
3122022211111201210
432310123231000
51002122012414
640400530120
76106200045
oct1664335500
9568744653
10248625984
11118385422
126b320940
133c681189
142503d1cc
1516c61e59
hexed1bb40

248625984 has 56 divisors (see below), whose sum is σ = 659026368. Its totient is φ = 82723840.

The previous prime is 248625973. The next prime is 248625991. The reversal of 248625984 is 489526842.

It is a happy number.

248625984 is digitally balanced in base 2, because in such base 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 (48).

It is a congruent number.

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, 163789 + ... + 165299.

It is an arithmetic number, because the mean of its divisors is an integer number (11768328).

Almost surely, 2248625984 is an apocalyptic number.

248625984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248625984 is an abundant number, since it is smaller than the sum of its proper divisors (410400384).

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

248625984 is a wasteful number, since it uses less digits than its factorization.

248625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2373 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 248625984 is about 15767.8782339286. The cubic root of 248625984 is about 628.8043030091.

The spelling of 248625984 in words is "two hundred forty-eight million, six hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 857 1511 1714 2571 3022 3428 4533 5142 6044 6856 9066 10284 12088 13712 18132 20568 24176 27424 36264 41136 48352 54848 72528 82272 96704 145056 164544 290112 1294927 2589854 3884781 5179708 7769562 10359416 15539124 20718832 31078248 41437664 62156496 82875328 124312992 248625984