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45332136 = 23372591
BaseRepresentation
bin1010110011101…
…1011010101000
310011022010000000
42230323122220
543101112021
64255343000
71060213443
oct254733250
9104263000
1045332136
1123652783
1213221a60
139512865
14604065a
153ea6b26
hex2b3b6a8

45332136 has 64 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 15104880.

The previous prime is 45332129. The next prime is 45332171. The reversal of 45332136 is 63123354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16201 + ... + 18791.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 245332136 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 45332136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63763200).

45332136 is an abundant number, since it is smaller than the sum of its proper divisors (82194264).

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

45332136 is an equidigital number, since it uses as much as digits as its factorization.

45332136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2596 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 45332136 is about 6732.9143764049. The cubic root of 45332136 is about 356.5622768810.

The spelling of 45332136 in words is "forty-five million, three hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2591 2916 4374 5182 5832 7773 8748 10364 15546 17496 20728 23319 31092 46638 62184 69957 93276 139914 186552 209871 279828 419742 559656 629613 839484 1259226 1678968 1888839 2518452 3777678 5036904 5666517 7555356 11333034 15110712 22666068 45332136