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42074748 = 22332231747
BaseRepresentation
bin1010000010000…
…0001001111100
32221011121201000
42200200021330
541232342443
64101450300
71020425622
oct240401174
987147630
1042074748
1121828421
1212110990
138942001
145833512
153a618d3
hex282027c

42074748 has 48 divisors (see below), whose sum is σ = 109634560. Its totient is φ = 13954032.

The previous prime is 42074743. The next prime is 42074761. The reversal of 42074748 is 84747024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42074741) 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, 23211 + ... + 24957.

Almost surely, 242074748 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 42074748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817280).

42074748 is an abundant number, since it is smaller than the sum of its proper divisors (67559812).

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

42074748 is a wasteful number, since it uses less digits than its factorization.

42074748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42074748 is about 6486.5050682166. The cubic root of 42074748 is about 347.8087534197.

The spelling of 42074748 in words is "forty-two million, seventy-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 1747 2007 2676 3494 4014 5241 6021 6988 8028 10482 12042 15723 20964 24084 31446 47169 62892 94338 188676 389581 779162 1168743 1558324 2337486 3506229 4674972 7012458 10518687 14024916 21037374 42074748