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42430674 = 231113172909
BaseRepresentation
bin1010000111011…
…1000011010010
32221211200221110
42201313003102
541330240144
64113234150
71023440406
oct241670322
987750843
1042430674
1121a50880
1212262956
138a38010
1458c7106
153ad20b9
hex28770d2

42430674 has 64 divisors (see below), whose sum is σ = 105598080. Its totient is φ = 11166720.

The previous prime is 42430669. The next prime is 42430721. The reversal of 42430674 is 47603424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13132 + ... + 16040.

It is an arithmetic number, because the mean of its divisors is an integer number (1649970).

Almost surely, 242430674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52799040).

42430674 is an abundant number, since it is smaller than the sum of its proper divisors (63167406).

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

42430674 is a wasteful number, since it uses less digits than its factorization.

42430674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955.

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 42430674 is about 6513.8831736530. The cubic root of 42430674 is about 348.7867488671.

The spelling of 42430674 in words is "forty-two million, four hundred thirty thousand, six hundred seventy-four".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 2909 4862 5818 7293 8727 14586 17454 31999 37817 49453 63998 75634 95997 98906 113451 148359 191994 226902 296718 415987 543983 642889 831974 1087966 1247961 1285778 1631949 1928667 2495922 3263898 3857334 7071779 14143558 21215337 42430674