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42680676 = 22317231397
BaseRepresentation
bin1010001011010…
…0000101100100
32222022101212210
42202310011210
541411240201
64122443420
71025531313
oct242640544
988271783
1042680676
1122101695
1212363570
138ac4a4c
14595027a
153b311d6
hex28b4164

42680676 has 72 divisors (see below), whose sum is σ = 109478656. Its totient is φ = 12925440.

The previous prime is 42680629. The next prime is 42680683. The reversal of 42680676 is 67608624.

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, 107310 + ... + 107706.

Almost surely, 242680676 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 42680676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54739328).

42680676 is an abundant number, since it is smaller than the sum of its proper divisors (66797980).

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

42680676 is a wasteful number, since it uses less digits than its factorization.

42680676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 42680676 is about 6533.0449256070. The cubic root of 42680676 is about 349.4704263343.

The spelling of 42680676 in words is "forty-two million, six hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 289 372 397 527 578 794 867 1054 1156 1191 1581 1588 1734 2108 2382 3162 3468 4764 6324 6749 8959 12307 13498 17918 20247 24614 26877 26996 35836 36921 40494 49228 53754 73842 80988 107508 114733 147684 209219 229466 344199 418438 458932 627657 688398 836876 1255314 1376796 2510628 3556723 7113446 10670169 14226892 21340338 42680676