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48639096 = 23331121861
BaseRepresentation
bin1011100110001…
…0110001111000
310101112010022000
42321202301320
544422422341
64454301000
71130265642
oct271426170
9111463260
1048639096
1125501300
1214357760
13a0ccb3c
146661892
15440b8b6
hex2e62c78

48639096 has 96 divisors (see below), whose sum is σ = 148587600. Its totient is φ = 14731200.

The previous prime is 48639077. The next prime is 48639131. The reversal of 48639096 is 69093684.

48639096 is a `hidden beast` number, since 4 + 8 + 639 + 0 + 9 + 6 = 666.

48639096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 25206 + ... + 27066.

Almost surely, 248639096 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 48639096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74293800).

48639096 is an abundant number, since it is smaller than the sum of its proper divisors (99948504).

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

48639096 is a wasteful number, since it uses less digits than its factorization.

48639096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 48639096 is about 6974.1734994191. The cubic root of 48639096 is about 365.0299493784.

The spelling of 48639096 in words is "forty-eight million, six hundred thirty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 1861 2178 2376 2904 3267 3722 4356 5583 6534 7444 8712 11166 13068 14888 16749 20471 22332 26136 33498 40942 44664 50247 61413 66996 81884 100494 122826 133992 163768 184239 200988 225181 245652 368478 401976 450362 491304 552717 675543 736956 900724 1105434 1351086 1473912 1801448 2026629 2210868 2702172 4053258 4421736 5404344 6079887 8106516 12159774 16213032 24319548 48639096