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42634746 = 232711191619
BaseRepresentation
bin1010001010100…
…0110111111010
32222020001212200
42202220313322
541403302441
64121451030
71025250360
oct242506772
988201780
1042634746
1122080130
1212340a76
138aa9b7b
14593b630
153b227b6
hex28a8dfa

42634746 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 10484640.

The previous prime is 42634729. The next prime is 42634751. The reversal of 42634746 is 64743624.

It is a self number, because there is not a number n which added to its sum of digits gives 42634746.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25525 + ... + 27143.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 242634746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42634746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

42634746 is an abundant number, since it is smaller than the sum of its proper divisors (78670854).

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

42634746 is a wasteful number, since it uses less digits than its factorization.

42634746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1661 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 42634746 is about 6529.5287731964. The cubic root of 42634746 is about 349.3450226828.

It can be divided in two parts, 4263 and 4746, that added together give a palindrome (9009).

The spelling of 42634746 in words is "forty-two million, six hundred thirty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1619 1881 2394 2926 3238 3762 4389 4857 8778 9714 11333 13167 14571 17809 22666 26334 29142 30761 33999 35618 53427 61522 67998 92283 101997 106854 124663 160281 184566 203994 215327 249326 276849 320562 338371 373989 430654 553698 645981 676742 747978 1015113 1121967 1291962 1937943 2030226 2243934 2368597 3045339 3875886 4737194 6090678 7105791 14211582 21317373 42634746