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45989944 = 23711135743
BaseRepresentation
bin1010111101110…
…0000000111000
310012112112100021
42233130000320
543233134234
64321420224
71065623320
oct257340070
9105475307
1045989944
1123a61a20
121349a674
1396b30b0
146172280
1540869b4
hex2bdc038

45989944 has 64 divisors (see below), whose sum is σ = 115799040. Its totient is φ = 16536960.

The previous prime is 45989917. The next prime is 45989953. The reversal of 45989944 is 44998954.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 45989891 and 45989900.

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, 5137 + ... + 10879.

It is an arithmetic number, because the mean of its divisors is an integer number (1809360).

Almost surely, 245989944 is an apocalyptic number.

45989944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45989944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57899520).

45989944 is an abundant number, since it is smaller than the sum of its proper divisors (69809096).

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

45989944 is a wasteful number, since it uses less digits than its factorization.

45989944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5776 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 45989944 is about 6781.5886044496. The cubic root of 45989944 is about 358.2786756847.

It can be divided in two parts, 45 and 989944, that added together give a palindrome (989989).

The spelling of 45989944 in words is "forty-five million, nine hundred eighty-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 5743 8008 11486 22972 40201 45944 63173 74659 80402 126346 149318 160804 252692 298636 321608 442211 505384 522613 597272 821249 884422 1045226 1642498 1768844 2090452 3284996 3537688 4180904 5748743 6569992 11497486 22994972 45989944