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248490048 = 2633183503
BaseRepresentation
bin11101100111110…
…10100001000000
3122022120121021010
432303322201000
51002103140143
640354000520
76105062532
oct1663724100
9568517233
10248490048
111182a2284
126b276140
133c634341
1425005852
1516c36a33
hexecfa840

248490048 has 112 divisors (see below), whose sum is σ = 688214016. Its totient is φ = 79034880.

The previous prime is 248490043. The next prime is 248490097. The reversal of 248490048 is 840094842.

It is a junction number, because it is equal to n+sod(n) for n = 248489988 and 248490015.

It is not an unprimeable number, because it can be changed into a prime (248490043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493765 + ... + 494267.

It is an arithmetic number, because the mean of its divisors is an integer number (6144768).

Almost surely, 2248490048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344107008).

248490048 is an abundant number, since it is smaller than the sum of its proper divisors (439723968).

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

248490048 is a wasteful number, since it uses less digits than its factorization.

248490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 248490048 is about 15763.5671090017. The cubic root of 248490048 is about 628.6896827493.

The spelling of 248490048 in words is "two hundred forty-eight million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 83 93 96 124 166 186 192 248 249 332 372 496 498 503 664 744 992 996 1006 1328 1488 1509 1984 1992 2012 2573 2656 2976 3018 3984 4024 5146 5312 5952 6036 7719 7968 8048 10292 12072 15438 15593 15936 16096 20584 24144 30876 31186 32192 41168 41749 46779 48288 61752 62372 82336 83498 93558 96576 123504 124744 125247 164672 166996 187116 247008 249488 250494 333992 374232 494016 498976 500988 667984 748464 997952 1001976 1294219 1335968 1496928 2003952 2588438 2671936 2993856 3882657 4007904 5176876 7765314 8015808 10353752 15530628 20707504 31061256 41415008 62122512 82830016 124245024 248490048