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48461136 = 2434721481
BaseRepresentation
bin1011100011011…
…1010101010000
310101012002011220
42320313111100
544401224021
64450405040
71125625053
oct270672520
9111162156
1048461136
112539a629
1214290780
13a069b39
146616a9a
1543c3cc6
hex2e37550

48461136 has 40 divisors (see below), whose sum is σ = 127860864. Its totient is φ = 15809280.

The previous prime is 48461131. The next prime is 48461137. The reversal of 48461136 is 63116484.

48461136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48461097 and 48461106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48461131) 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 7 ways as a sum of consecutive naturals, for example, 8485 + ... + 12996.

Almost surely, 248461136 is an apocalyptic number.

It is an amenable number.

48461136 is an abundant number, since it is smaller than the sum of its proper divisors (79399728).

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

48461136 is a wasteful number, since it uses less digits than its factorization.

48461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21533 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 48461136 is about 6961.4033068053. The cubic root of 48461136 is about 364.5842166081.

The spelling of 48461136 in words is "forty-eight million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 21481 42962 64443 85924 128886 171848 257772 343696 515544 1009607 1031088 2019214 3028821 4038428 6057642 8076856 12115284 16153712 24230568 48461136