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48779808 = 2537116599
BaseRepresentation
bin1011101000010…
…1001000100000
310101210021022120
42322011020200
544441423213
64501304240
71131423120
oct272051040
9111707276
1048779808
1125597aa0
1214405080
13a14bbbc
14669ac80
154438423
hex2e85220

48779808 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 12668160.

The previous prime is 48779807. The next prime is 48779813. The reversal of 48779808 is 80897784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48779807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4093 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 248779808 is an apocalyptic number.

48779808 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 48779808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

48779808 is an abundant number, since it is smaller than the sum of its proper divisors (110887392).

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

48779808 is a wasteful number, since it uses less digits than its factorization.

48779808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 48779808 is about 6984.2542909032. The cubic root of 48779808 is about 365.3816187563.

The spelling of 48779808 in words is "forty-eight million, seven hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 6599 7392 13198 19797 26396 39594 46193 52792 72589 79188 92386 105584 138579 145178 158376 184772 211168 217767 277158 290356 316752 369544 435534 508123 554316 580712 633504 739088 871068 1016246 1108632 1161424 1478176 1524369 1742136 2032492 2217264 2322848 3048738 3484272 4064984 4434528 6097476 6968544 8129968 12194952 16259936 24389904 48779808