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42856728 = 23317234567
BaseRepresentation
bin1010001101111…
…1000100011000
32222122100101020
42203133010120
541432403403
64130322440
71030163505
oct243370430
988570336
1042856728
1122211992
1212429420
138b56c15
1459984ac
153b68453
hex28df118

42856728 has 64 divisors (see below), whose sum is σ = 118402560. Its totient is φ = 12857856.

The previous prime is 42856727. The next prime is 42856741. The reversal of 42856728 is 82765824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42856728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42856727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7101 + ... + 11667.

It is an arithmetic number, because the mean of its divisors is an integer number (1850040).

Almost surely, 242856728 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 42856728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59201280).

42856728 is an abundant number, since it is smaller than the sum of its proper divisors (75545832).

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

42856728 is a wasteful number, since it uses less digits than its factorization.

42856728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4612 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 42856728 is about 6546.5050217654. The cubic root of 42856728 is about 349.9502732074.

The spelling of 42856728 in words is "forty-two million, eight hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4567 4692 9134 9384 13701 18268 27402 36536 54804 77639 105041 109608 155278 210082 232917 310556 315123 420164 465834 621112 630246 840328 931668 1260492 1785697 1863336 2520984 3571394 5357091 7142788 10714182 14285576 21428364 42856728