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48888320 = 295132113
BaseRepresentation
bin1011101001111…
…1101000000000
310101222210011112
42322133220000
5100003411240
64503502452
71132354355
oct272375000
9111883145
1048888320
1125661578
1214457a28
13a189400
1466c862c
15445a665
hex2e9fa00

48888320 has 120 divisors (see below), whose sum is σ = 128050956. Its totient is φ = 17891328.

The previous prime is 48888289. The next prime is 48888331. The reversal of 48888320 is 2388884.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 48888064 = 16^2 + 6992^2 .

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, 432584 + ... + 432696.

Almost surely, 248888320 is an apocalyptic number.

48888320 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 48888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64025478).

48888320 is an abundant number, since it is smaller than the sum of its proper divisors (79162636).

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

48888320 is a wasteful number, since it uses less digits than its factorization.

48888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 48888320 is about 6992.0183066122. The cubic root of 48888320 is about 365.6523518633.

The spelling of 48888320 in words is "forty-eight million, eight hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 113 128 130 160 169 208 226 256 260 320 338 416 452 512 520 565 640 676 832 845 904 1040 1130 1280 1352 1469 1664 1690 1808 2080 2260 2560 2704 2938 3328 3380 3616 4160 4520 5408 5876 6656 6760 7232 7345 8320 9040 10816 11752 13520 14464 14690 16640 18080 19097 21632 23504 27040 28928 29380 33280 36160 38194 43264 47008 54080 57856 58760 72320 76388 86528 94016 95485 108160 117520 144640 152776 188032 190970 216320 235040 289280 305552 376064 381940 432640 470080 611104 752128 763880 940160 1222208 1527760 1880320 2444416 3055520 3760640 4888832 6111040 9777664 12222080 24444160 48888320