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48591968 = 2519229349
BaseRepresentation
bin1011100101011…
…1010001100000
310101102201122112
42321113101200
544414420333
64453254452
71130011355
oct271272140
9111381575
1048591968
1125479957
1214334428
13a0b4559
14664c62c
1543ec948
hex2e57460

48591968 has 48 divisors (see below), whose sum is σ = 101430000. Its totient is φ = 22851072.

The previous prime is 48591947. The next prime is 48592003. The reversal of 48591968 is 86919584.

It is a happy number.

It is a super-2 number, since 2×485919682 = 4722358708226048, which contains 22 as substring.

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, 139058 + ... + 139406.

It is an arithmetic number, because the mean of its divisors is an integer number (2113125).

Almost surely, 248591968 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 48591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50715000).

48591968 is an abundant number, since it is smaller than the sum of its proper divisors (52838032).

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

48591968 is a wasteful number, since it uses less digits than its factorization.

48591968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

The square root of 48591968 is about 6970.7939289582. The cubic root of 48591968 is about 364.9120148217.

The spelling of 48591968 in words is "forty-eight million, five hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 229 304 349 458 608 698 916 1396 1832 2792 3664 4351 5584 6631 7328 8702 11168 13262 17404 26524 34808 53048 69616 79921 106096 139232 159842 212192 319684 639368 1278736 1518499 2557472 3036998 6073996 12147992 24295984 48591968