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48559968 = 25321031637
BaseRepresentation
bin1011100100111…
…1011101100000
310101101002202100
42321033131200
544412404333
64452450400
71126516152
oct271173540
9111332670
1048559968
1125457906
1214319a00
13a0a2b12
146640ad2
1543e3213
hex2e4f760

48559968 has 72 divisors (see below), whose sum is σ = 139518288. Its totient is φ = 16019712.

The previous prime is 48559967. The next prime is 48559993. The reversal of 48559968 is 86995584.

It is a happy number.

48559968 is a `hidden beast` number, since 48 + 5 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×485599682 = 4716140984322048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48559961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28846 + ... + 30482.

It is an arithmetic number, because the mean of its divisors is an integer number (1937754).

Almost surely, 248559968 is an apocalyptic number.

48559968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69759144).

48559968 is an abundant number, since it is smaller than the sum of its proper divisors (90958320).

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

48559968 is a wasteful number, since it uses less digits than its factorization.

48559968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1745 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 48559968 is about 6968.4982600270. The cubic root of 48559968 is about 364.8318935643.

The spelling of 48559968 in words is "forty-eight million, five hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1637 1648 1854 2472 3274 3296 3708 4911 4944 6548 7416 9822 9888 13096 14733 14832 19644 26192 29466 29664 39288 52384 58932 78576 117864 157152 168611 235728 337222 471456 505833 674444 1011666 1348888 1517499 2023332 2697776 3034998 4046664 5395552 6069996 8093328 12139992 16186656 24279984 48559968