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48861072 = 24321343607
BaseRepresentation
bin1011101001100…
…0111110010000
310101221101210100
42322120332100
5100002023242
64503132400
71132212051
oct272307620
9111841710
1048861072
1125643057
1214444100
13a179ba0
1466bc728
15445254c
hex2e98f90

48861072 has 120 divisors (see below), whose sum is σ = 150934784. Its totient is φ = 14660352.

The previous prime is 48861049. The next prime is 48861079. The reversal of 48861072 is 27016884.

48861072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (48861079) by changing a digit.

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, 80193 + ... + 80799.

Almost surely, 248861072 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 48861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75467392).

48861072 is an abundant number, since it is smaller than the sum of its proper divisors (102073712).

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

48861072 is a wasteful number, since it uses less digits than its factorization.

48861072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48861072 is about 6990.0695275512. The cubic root of 48861072 is about 365.5844068894.

The spelling of 48861072 in words is "forty-eight million, eight hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 607 624 688 774 936 1032 1118 1214 1548 1677 1821 1872 2064 2236 2428 3096 3354 3642 4472 4856 5031 5463 6192 6708 7284 7891 8944 9712 10062 10926 13416 14568 15782 20124 21852 23673 26101 26832 29136 31564 40248 43704 47346 52202 63128 71019 78303 80496 87408 94692 104404 126256 142038 156606 189384 208808 234909 284076 313212 339313 378768 417616 469818 568152 626424 678626 939636 1017939 1136304 1252848 1357252 1879272 2035878 2714504 3053817 3758544 4071756 5429008 6107634 8143512 12215268 16287024 24430536 48861072