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42704856 = 23321923153
BaseRepresentation
bin1010001011100…
…1111111011000
32222100122001100
42202321333120
541413023411
64123151400
71025661645
oct242717730
988318040
1042704856
1122118877
1212375560
138b02a5c
145958dcc
153b38456
hex28b9fd8

42704856 has 144 divisors (see below), whose sum is σ = 128381760. Its totient is φ = 12804480.

The previous prime is 42704843. The next prime is 42704863. The reversal of 42704856 is 65840724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 42704856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805726 + ... + 805778.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 242704856 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 42704856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64190880).

42704856 is an abundant number, since it is smaller than the sum of its proper divisors (85676904).

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

42704856 is a wasteful number, since it uses less digits than its factorization.

42704856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42704856 is about 6534.8952554727. The cubic root of 42704856 is about 349.5364093538.

The spelling of 42704856 in words is "forty-two million, seven hundred four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 53 57 62 72 76 93 106 114 124 152 159 171 186 212 228 248 279 318 342 361 372 424 456 477 558 589 636 684 722 744 954 1007 1083 1116 1178 1272 1368 1444 1643 1767 1908 2014 2166 2232 2356 2888 3021 3249 3286 3534 3816 4028 4332 4712 4929 5301 6042 6498 6572 7068 8056 8664 9063 9858 10602 11191 12084 12996 13144 14136 14787 18126 19133 19716 21204 22382 24168 25992 29574 31217 33573 36252 38266 39432 42408 44764 57399 59148 62434 67146 72504 76532 89528 93651 100719 114798 118296 124868 134292 153064 172197 187302 201438 229596 249736 268584 280953 344394 374604 402876 459192 561906 593123 688788 749208 805752 1123812 1186246 1377576 1779369 2247624 2372492 3558738 4744984 5338107 7117476 10676214 14234952 21352428 42704856