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42474536 = 23131492741
BaseRepresentation
bin1010001000000…
…1110000101000
32221220221002222
42202001300220
541333141121
64114213212
71024012316
oct242016050
987827088
1042474536
1121a80825
1212284208
138a51c80
1458d90b6
153ae00ab
hex2881c28

42474536 has 32 divisors (see below), whose sum is σ = 86373000. Its totient is φ = 19464960.

The previous prime is 42474529. The next prime is 42474541. The reversal of 42474536 is 63547424.

It can be written as a sum of positive squares in 4 ways, for example, as 15952036 + 26522500 = 3994^2 + 5150^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42474496 and 42474505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14126 + ... + 16866.

Almost surely, 242474536 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 42474536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43186500).

42474536 is an abundant number, since it is smaller than the sum of its proper divisors (43898464).

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

42474536 is a wasteful number, since it uses less digits than its factorization.

42474536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2905 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 42474536 is about 6517.2491129310. The cubic root of 42474536 is about 348.9068916352.

The spelling of 42474536 in words is "forty-two million, four hundred seventy-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 2741 3874 5482 7748 10964 15496 21928 35633 71266 142532 285064 408409 816818 1633636 3267272 5309317 10618634 21237268 42474536