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40442544 = 2433179523
BaseRepresentation
bin1001101001000…
…1101010110000
32211002200202000
42122101222300
540323130134
64002454000
71000520202
oct232215260
984080660
1040442544
112091309a
1211664300
1384c00cc
14552a772
15383ce99
hex2691ab0

40442544 has 80 divisors (see below), whose sum is σ = 116956800. Its totient is φ = 13379904.

The previous prime is 40442491. The next prime is 40442561. The reversal of 40442544 is 44524404.

It is a happy number.

40442544 is a `hidden beast` number, since 404 + 4 + 254 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77067 + ... + 77589.

It is an arithmetic number, because the mean of its divisors is an integer number (1461960).

Almost surely, 240442544 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 40442544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58478400).

40442544 is an abundant number, since it is smaller than the sum of its proper divisors (76514256).

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

40442544 is a wasteful number, since it uses less digits than its factorization.

40442544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 40442544 is about 6359.4452588256. The cubic root of 40442544 is about 343.2517991159.

Adding to 40442544 its reverse (44524404), we get a palindrome (84966948).

The spelling of 40442544 in words is "forty million, four hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 523 537 716 1046 1074 1432 1569 1611 2092 2148 2864 3138 3222 4184 4296 4707 4833 6276 6444 8368 8592 9414 9666 12552 12888 14121 18828 19332 25104 25776 28242 37656 38664 56484 75312 77328 93617 112968 187234 225936 280851 374468 561702 748936 842553 1123404 1497872 1685106 2246808 2527659 3370212 4493616 5055318 6740424 10110636 13480848 20221272 40442544