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42274576 = 2429312939
BaseRepresentation
bin1010000101000…
…0111100010000
32221112202211001
42201100330100
541310241301
64110031344
71022220331
oct241207420
987482731
1042274576
1121954573
12121a8554
1389b1c56
145886288
153aa0c01
hex2850f10

42274576 has 40 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 19743360.

The previous prime is 42274553. The next prime is 42274579. The reversal of 42274576 is 67547224.

It is not an unprimeable number, because it can be changed into a prime (42274579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12915 + ... + 15853.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 242274576 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 42274576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

42274576 is an abundant number, since it is smaller than the sum of its proper divisors (45219824).

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

42274576 is a wasteful number, since it uses less digits than its factorization.

42274576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its digits is 94080, while the sum is 37.

The square root of 42274576 is about 6501.8901867072. The cubic root of 42274576 is about 348.3585066601.

The spelling of 42274576 in words is "forty-two million, two hundred seventy-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 2939 3596 5878 7192 11756 14384 23512 47024 85231 91109 170462 182218 340924 364436 681848 728872 1363696 1457744 2642161 5284322 10568644 21137288 42274576