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48867968 = 27478123
BaseRepresentation
bin1011101001101…
…0101010000000
310101221202020202
42322122222000
5100002233333
64503224332
71132241132
oct272325200
9111852222
1048867968
1125648256
12144480a8
13a180076
1466c1052
1544545e8
hex2e9aa80

48867968 has 32 divisors (see below), whose sum is σ = 99437760. Its totient is φ = 23911168.

The previous prime is 48867937. The next prime is 48867971. The reversal of 48867968 is 86976884.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1955 + ... + 10077.

It is an arithmetic number, because the mean of its divisors is an integer number (3107430).

Almost surely, 248867968 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 48867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49718880).

48867968 is an abundant number, since it is smaller than the sum of its proper divisors (50569792).

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

48867968 is an equidigital number, since it uses as much as digits as its factorization.

48867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8172 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 48867968 is about 6990.5627813503. The cubic root of 48867968 is about 365.6016049803.

The spelling of 48867968 in words is "forty-eight million, eight hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 8123 16246 32492 64984 129968 259936 381781 519872 763562 1039744 1527124 3054248 6108496 12216992 24433984 48867968