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48534432 = 253539539
BaseRepresentation
bin1011100100100…
…1001110100000
310101022210201120
42321021032200
544411100212
64452132240
71126351542
oct271111640
9111283646
1048534432
112543a701
1214307080
13a0942cb
146635692
1543da88c
hex2e493a0

48534432 has 48 divisors (see below), whose sum is σ = 129820320. Its totient is φ = 15871232.

The previous prime is 48534419. The next prime is 48534433. The reversal of 48534432 is 23443584.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 48534393 and 48534402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48534433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 9857.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 248534432 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 48534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64910160).

48534432 is an abundant number, since it is smaller than the sum of its proper divisors (81285888).

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

48534432 is a wasteful number, since it uses less digits than its factorization.

48534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9597 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 48534432 is about 6966.6657735247. The cubic root of 48534432 is about 364.7679315455.

The spelling of 48534432 in words is "forty-eight million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 9539 19078 28617 38156 57234 76312 114468 152624 228936 305248 457872 505567 915744 1011134 1516701 2022268 3033402 4044536 6066804 8089072 12133608 16178144 24267216 48534432