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42430528 = 267531787
BaseRepresentation
bin1010000111011…
…1000001000000
32221211200202001
42201313001000
541330234103
64113233344
71023440110
oct241670100
987750661
1042430528
1121a50758
1212262854
138a37c2a
1458c7040
153ad201d
hex2877040

42430528 has 56 divisors (see below), whose sum is σ = 98096832. Its totient is φ = 17831424.

The previous prime is 42430517. The next prime is 42430543. The reversal of 42430528 is 82503424.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42430496 and 42430505.

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, 22851 + ... + 24637.

Almost surely, 242430528 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 42430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49048416).

42430528 is an abundant number, since it is smaller than the sum of its proper divisors (55666304).

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

42430528 is a wasteful number, since it uses less digits than its factorization.

42430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 42430528 is about 6513.8719668105. The cubic root of 42430528 is about 348.7863488190.

The spelling of 42430528 in words is "forty-two million, four hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 1787 2968 3392 3574 5936 7148 11872 12509 14296 23744 25018 28592 50036 57184 94711 100072 114368 189422 200144 378844 400288 662977 757688 800576 1325954 1515376 2651908 3030752 5303816 6061504 10607632 21215264 42430528