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42916328 = 23713167353
BaseRepresentation
bin1010001110110…
…1100111101000
32222202101010122
42203231213220
541441310303
64131502412
71030532330
oct243554750
988671118
1042916328
1122252744
1212457a08
138b780a0
1459b20c0
153b7ae38
hex28ed9e8

42916328 has 64 divisors (see below), whose sum is σ = 99912960. Its totient is φ = 16828416.

The previous prime is 42916297. The next prime is 42916331. The reversal of 42916328 is 82361924.

It is a super-2 number, since 2×429163282 = 3683622418007168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121400 + ... + 121752.

It is an arithmetic number, because the mean of its divisors is an integer number (1561140).

Almost surely, 242916328 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 42916328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49956480).

42916328 is an abundant number, since it is smaller than the sum of its proper divisors (56996632).

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

42916328 is a wasteful number, since it uses less digits than its factorization.

42916328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 42916328 is about 6551.0554874768. The cubic root of 42916328 is about 350.1124210290.

The spelling of 42916328 in words is "forty-two million, nine hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 167 182 334 353 364 668 706 728 1169 1336 1412 2171 2338 2471 2824 4342 4589 4676 4942 8684 9178 9352 9884 15197 17368 18356 19768 30394 32123 36712 58951 60788 64246 117902 121576 128492 235804 256984 412657 471608 766363 825314 1532726 1650628 3065452 3301256 5364541 6130904 10729082 21458164 42916328