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48865720 = 23519113569
BaseRepresentation
bin1011101001101…
…0000110111000
310101221122011111
42322122012320
5100002200340
64503210104
71132231441
oct272320670
9111848144
1048865720
11256465a2
1214446934
13a17c037
1466c02c8
154453aea
hex2e9a1b8

48865720 has 64 divisors (see below), whose sum is σ = 116964000. Its totient is φ = 18321408.

The previous prime is 48865711. The next prime is 48865741. The reversal of 48865720 is 2756884.

48865720 = T96 + T97 + ... + T664.

48865720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488657202 = 4775717182236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85596 + ... + 86164.

Almost surely, 248865720 is an apocalyptic number.

48865720 is a gapful number since it is divisible by the number (40) 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 48865720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58482000).

48865720 is an abundant number, since it is smaller than the sum of its proper divisors (68098280).

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

48865720 is a wasteful number, since it uses less digits than its factorization.

48865720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 48865720 is about 6990.4019913021. The cubic root of 48865720 is about 365.5959988198.

The spelling of 48865720 in words is "forty-eight million, eight hundred sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 569 760 904 1130 1138 2147 2260 2276 2845 4294 4520 4552 5690 8588 10735 10811 11380 17176 21470 21622 22760 42940 43244 54055 64297 85880 86488 108110 128594 216220 257188 321485 432440 514376 642970 1221643 1285940 2443286 2571880 4886572 6108215 9773144 12216430 24432860 48865720