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42351144 = 23311592719
BaseRepresentation
bin1010000110001…
…1101000101000
32221200122211220
42201203220220
541320214034
64111422040
71022656503
oct241435050
987618756
1042351144
11219a7050
1212224920
138a0aa64
1458a613a
153ab8749
hex2863a28

42351144 has 64 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12611520.

The previous prime is 42351139. The next prime is 42351151. The reversal of 42351144 is 44115324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14217 + ... + 16935.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 242351144 is an apocalyptic number.

42351144 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 42351144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

42351144 is an abundant number, since it is smaller than the sum of its proper divisors (75152856).

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

42351144 is a wasteful number, since it uses less digits than its factorization.

42351144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2794 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 42351144 is about 6507.7756568585. The cubic root of 42351144 is about 348.5686962456.

Adding to 42351144 its reverse (44115324), we get a palindrome (86466468).

The spelling of 42351144 in words is "forty-two million, three hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 2719 3894 5192 5438 7788 8157 10876 15576 16314 21752 29909 32628 59818 65256 89727 119636 160421 179454 239272 320842 358908 481263 641684 717816 962526 1283368 1764631 1925052 3529262 3850104 5293893 7058524 10587786 14117048 21175572 42351144