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48601152 = 263284377
BaseRepresentation
bin1011100101100…
…1100001000000
310101110012020200
42321121201000
544420214102
64453405200
71130050215
oct271314100
9111405220
1048601152
1125485846
1214339800
13a0b87a2
146651b0c
15440051c
hex2e59840

48601152 has 42 divisors (see below), whose sum is σ = 139308078. Its totient is φ = 16200192.

The previous prime is 48601151. The next prime is 48601169. The reversal of 48601152 is 25110684.

48601152 is a `hidden beast` number, since 4 + 8 + 601 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 2143296 = 6816^2 + 1464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48601151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41613 + ... + 42764.

It is an arithmetic number, because the mean of its divisors is an integer number (3316859).

Almost surely, 248601152 is an apocalyptic number.

It is an amenable number.

48601152 is an abundant number, since it is smaller than the sum of its proper divisors (90706926).

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

48601152 is a wasteful number, since it uses less digits than its factorization.

48601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84395 (or 84382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 48601152 is about 6971.4526463285. The cubic root of 48601152 is about 364.9350031259.

The spelling of 48601152 in words is "forty-eight million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 84377 168754 253131 337508 506262 675016 759393 1012524 1350032 1518786 2025048 2700064 3037572 4050096 5400128 6075144 8100192 12150288 16200384 24300576 48601152