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42574434 = 2372179809
BaseRepresentation
bin1010001001101…
…0001001100010
32222010000010220
42202122021202
541344340214
64120303510
71024606500
oct242321142
988100126
1042574434
1122039891
1212311b96
138a88596
145923670
153b0e9a9
hex289a262

42574434 has 48 divisors (see below), whose sum is σ = 99727200. Its totient is φ = 12081216.

The previous prime is 42574397. The next prime is 42574451. The reversal of 42574434 is 43447524.

It is a junction number, because it is equal to n+sod(n) for n = 42574395 and 42574404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52222 + ... + 53030.

It is an arithmetic number, because the mean of its divisors is an integer number (2077650).

Almost surely, 242574434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42574434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863600).

42574434 is an abundant number, since it is smaller than the sum of its proper divisors (57152766).

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

42574434 is a wasteful number, since it uses less digits than its factorization.

42574434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its digits is 53760, while the sum is 33.

The square root of 42574434 is about 6524.9087349939. The cubic root of 42574434 is about 349.1802146955.

The spelling of 42574434 in words is "forty-two million, five hundred seventy-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 179 294 358 537 809 1074 1253 1618 2427 2506 3759 4854 5663 7518 8771 11326 16989 17542 26313 33978 39641 52626 79282 118923 144811 237846 289622 434433 868866 1013677 2027354 3041031 6082062 7095739 14191478 21287217 42574434