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48559104 = 2103211479
BaseRepresentation
bin1011100100111…
…1010000000000
310101101001120100
42321033100000
544412342404
64452442400
71126513506
oct271172000
9111331510
1048559104
11254571a0
1214319400
13a0a25c9
146640676
1543e2d39
hex2e4f400

48559104 has 132 divisors (see below), whose sum is σ = 153279360. Its totient is φ = 14684160.

The previous prime is 48559081. The next prime is 48559139. The reversal of 48559104 is 40195584.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 101137 + ... + 101615.

Almost surely, 248559104 is an apocalyptic number.

48559104 is a gapful number since it is divisible by the number (44) 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 48559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

48559104 is an abundant number, since it is smaller than the sum of its proper divisors (104720256).

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

48559104 is a wasteful number, since it uses less digits than its factorization.

48559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 48559104 is about 6968.4362664805. The cubic root of 48559104 is about 364.8297298024.

The spelling of 48559104 in words is "forty-eight million, five hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 479 512 528 576 704 768 792 958 1024 1056 1152 1408 1437 1536 1584 1916 2112 2304 2816 2874 3072 3168 3832 4224 4311 4608 5269 5632 5748 6336 7664 8448 8622 9216 10538 11264 11496 12672 15328 15807 16896 17244 21076 22992 25344 30656 31614 33792 34488 42152 45984 47421 50688 61312 63228 68976 84304 91968 94842 101376 122624 126456 137952 168608 183936 189684 245248 252912 275904 337216 367872 379368 490496 505824 551808 674432 735744 758736 1011648 1103616 1348864 1471488 1517472 2023296 2207232 2697728 3034944 4046592 4414464 5395456 6069888 8093184 12139776 16186368 24279552 48559104