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48891456 = 2632174993
BaseRepresentation
bin1011101010000…
…0011001000000
310101222221110200
42322200121000
5100004011311
64503525200
71132366455
oct272403100
9111887420
1048891456
1125663969
1214459800
13a18a973
1466c982c
15445b556
hex2ea0640

48891456 has 84 divisors (see below), whose sum is σ = 148411692. Its totient is φ = 15335424.

The previous prime is 48891449. The next prime is 48891463. The reversal of 48891456 is 65419884.

It is an interprime number because it is at equal distance from previous prime (48891449) and next prime (48891463).

It can be written as a sum of positive squares in 2 ways, for example, as 27878400 + 21013056 = 5280^2 + 4584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7296 + ... + 12288.

Almost surely, 248891456 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 48891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74205846).

48891456 is an abundant number, since it is smaller than the sum of its proper divisors (99520236).

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

48891456 is a wasteful number, since it uses less digits than its factorization.

48891456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5015 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 48891456 is about 6992.2425587218. The cubic root of 48891456 is about 365.6601700992.

The spelling of 48891456 in words is "forty-eight million, eight hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 4993 9792 9986 14979 19972 29958 39944 44937 59916 79888 84881 89874 119832 159776 169762 179748 239664 254643 319552 339524 359496 479328 509286 679048 718992 763929 958656 1018572 1358096 1437984 1527858 2037144 2716192 2875968 3055716 4074288 5432384 6111432 8148576 12222864 16297152 24445728 48891456