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45999864 = 23321314877
BaseRepresentation
bin1010111101111…
…0011011111000
310012120000221200
42233132123320
543233443424
64321534200
71065664251
oct257363370
9105500850
1045999864
1123a69419
12134a4360
1396b7771
146175b28
1540898c9
hex2bde6f8

45999864 has 48 divisors (see below), whose sum is σ = 125559720. Its totient is φ = 15213120.

The previous prime is 45999859. The next prime is 45999869. The reversal of 45999864 is 46899954.

It is an interprime number because it is at equal distance from previous prime (45999859) and next prime (45999869).

It is a self number, because there is not a number n which added to its sum of digits gives 45999864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45999869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 11870.

Almost surely, 245999864 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 45999864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62779860).

45999864 is an abundant number, since it is smaller than the sum of its proper divisors (79559856).

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

45999864 is a wasteful number, since it uses less digits than its factorization.

45999864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5013 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 45999864 is about 6782.3199570648. The cubic root of 45999864 is about 358.3044339893.

The spelling of 45999864 in words is "forty-five million, nine hundred ninety-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 4877 9432 9754 14631 19508 29262 39016 43893 58524 87786 117048 175572 351144 638887 1277774 1916661 2555548 3833322 5111096 5749983 7666644 11499966 15333288 22999932 45999864