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46113132 = 223132910193
BaseRepresentation
bin1010111111101…
…0000101101100
310012202210022210
42233322011230
543301110012
64324210420
71066645422
oct257720554
9105683283
1046113132
112403652a
1213539a10
1397271a0
1461a5112
1540ad23c
hex2bfa16c

46113132 has 48 divisors (see below), whose sum is σ = 119881440. Its totient is φ = 13698048.

The previous prime is 46113131. The next prime is 46113139. The reversal of 46113132 is 23131164.

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 = 46113099 and 46113108.

It is not an unprimeable number, because it can be changed into a prime (46113131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573 + ... + 9620.

It is an arithmetic number, because the mean of its divisors is an integer number (2497530).

Almost surely, 246113132 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 46113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59940720).

46113132 is an abundant number, since it is smaller than the sum of its proper divisors (73768308).

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

46113132 is a wasteful number, since it uses less digits than its factorization.

46113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10240 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 46113132 is about 6790.6650631584. The cubic root of 46113132 is about 358.5982838510.

Adding to 46113132 its reverse (23131164), we get a palindrome (69244296).

The spelling of 46113132 in words is "forty-six million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 10193 20386 30579 40772 61158 122316 132509 265018 295597 397527 530036 591194 795054 886791 1182388 1590108 1773582 3547164 3842761 7685522 11528283 15371044 23056566 46113132