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42041424 = 24323113337
BaseRepresentation
bin1010000001100…
…0000001010000
32221002220222210
42200120001100
541230311144
64101032120
71020226515
oct240300120
987086883
1042041424
1121805387
12120b5640
13892caa9
14582530c
153a56ab9
hex2818050

42041424 has 80 divisors (see below), whose sum is σ = 114671232. Its totient is φ = 13246464.

The previous prime is 42041411. The next prime is 42041431. The reversal of 42041424 is 42414024.

It is a self number, because there is not a number n which added to its sum of digits gives 42041424.

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, 124584 + ... + 124920.

Almost surely, 242041424 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 42041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335616).

42041424 is an abundant number, since it is smaller than the sum of its proper divisors (72629808).

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

42041424 is a wasteful number, since it uses less digits than its factorization.

42041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 42041424 is about 6483.9358417554. The cubic root of 42041424 is about 347.7169054529.

Adding to 42041424 its reverse (42414024), we get a palindrome (84455448).

The spelling of 42041424 in words is "forty-two million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 226 276 337 339 368 452 552 674 678 904 1011 1104 1348 1356 1808 2022 2599 2696 2712 4044 5198 5392 5424 7751 7797 8088 10396 15502 15594 16176 20792 23253 31004 31188 38081 41584 46506 62008 62376 76162 93012 114243 124016 124752 152324 186024 228486 304648 372048 456972 609296 875863 913944 1751726 1827888 2627589 3503452 5255178 7006904 10510356 14013808 21020712 42041424