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42437076 = 22311378689
BaseRepresentation
bin1010000111100…
…0100111010100
32221212000201120
42201320213110
541330441301
64113323540
71023465153
oct241704724
987760646
1042437076
1121a55670
12122665b0
138a3abc6
1458c959a
153ad3e36
hex28789d4

42437076 has 48 divisors (see below), whose sum is σ = 110953920. Its totient is φ = 12510720.

The previous prime is 42437053. The next prime is 42437077. The reversal of 42437076 is 67073424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42437077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (2311540).

Almost surely, 242437076 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 42437076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55476960).

42437076 is an abundant number, since it is smaller than the sum of its proper divisors (68516844).

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

42437076 is a wasteful number, since it uses less digits than its factorization.

42437076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 42437076 is about 6514.3745670632. The cubic root of 42437076 is about 348.8042897973.

The spelling of 42437076 in words is "forty-two million, four hundred thirty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 8689 17378 26067 34756 52134 95579 104268 191158 286737 321493 382316 573474 642986 964479 1146948 1285972 1928958 3536423 3857916 7072846 10609269 14145692 21218538 42437076