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48205136 = 2471273389
BaseRepresentation
bin1011011111100…
…0110101010000
310100201002000102
42313320311100
544320031021
64441111532
71123510520
oct267706520
9110632012
1048205136
1125235261
12141885a8
139caa465
14658b680
15437300b
hex2df8d50

48205136 has 40 divisors (see below), whose sum is σ = 107612160. Its totient is φ = 20490624.

The previous prime is 48205121. The next prime is 48205139. The reversal of 48205136 is 63150284.

It is a junction number, because it is equal to n+sod(n) for n = 48205099 and 48205108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48205139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12530 + ... + 15918.

It is an arithmetic number, because the mean of its divisors is an integer number (2690304).

Almost surely, 248205136 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 48205136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53806080).

48205136 is an abundant number, since it is smaller than the sum of its proper divisors (59407024).

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

48205136 is a wasteful number, since it uses less digits than its factorization.

48205136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 48205136 is about 6942.9918623026. The cubic root of 48205136 is about 363.9411006418.

The spelling of 48205136 in words is "forty-eight million, two hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3389 3556 6778 7112 13556 14224 23723 27112 47446 54224 94892 189784 379568 430403 860806 1721612 3012821 3443224 6025642 6886448 12051284 24102568 48205136