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45969444 = 2234532677
BaseRepresentation
bin1010111101011…
…1000000100100
310012111111020000
42233113000210
543232010234
64321141300
71065506463
oct257270044
9105444200
1045969444
1123a48584
121348a830
1396a6971
1461689da
154080899
hex2bd7024

45969444 has 60 divisors (see below), whose sum is σ = 122486364. Its totient is φ = 15028416.

The previous prime is 45969419. The next prime is 45969463. The reversal of 45969444 is 44496954.

It can be written as a sum of positive squares in 2 ways, for example, as 13616100 + 32353344 = 3690^2 + 5688^2 .

It is a super-2 number, since 2×459694442 = 4226379563338272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45969444.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15834 + ... + 18510.

Almost surely, 245969444 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 45969444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61243182).

45969444 is an abundant number, since it is smaller than the sum of its proper divisors (76516920).

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

45969444 is a wasteful number, since it uses less digits than its factorization.

45969444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2735 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45969444 is about 6780.0769907133. The cubic root of 45969444 is about 358.2254335787.

The spelling of 45969444 in words is "forty-five million, nine hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2677 2862 4293 5354 5724 8031 8586 10708 16062 17172 24093 32124 48186 72279 96372 141881 144558 216837 283762 289116 425643 433674 567524 851286 867348 1276929 1702572 2553858 3830787 5107716 7661574 11492361 15323148 22984722 45969444