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42434856 = 23321737937
BaseRepresentation
bin1010000111100…
…0000100101000
32221211220200100
42201320010220
541330403411
64113305400
71023455532
oct241700450
987756610
1042434856
1121a53a32
1212265260
138a39ba9
1458c8852
153ad3456
hex2878128

42434856 has 96 divisors (see below), whose sum is σ = 125110440. Its totient is φ = 12939264.

The previous prime is 42434849. The next prime is 42434857. The reversal of 42434856 is 65843424.

It can be written as a sum of positive squares in 4 ways, for example, as 38862756 + 3572100 = 6234^2 + 1890^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42434856.

It is not an unprimeable number, because it can be changed into a prime (42434857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44820 + ... + 45756.

Almost surely, 242434856 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 42434856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62555220).

42434856 is an abundant number, since it is smaller than the sum of its proper divisors (82675584).

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

42434856 is a wasteful number, since it uses less digits than its factorization.

42434856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42434856 is about 6514.2041724220. The cubic root of 42434856 is about 348.7982073878.

The spelling of 42434856 in words is "forty-two million, four hundred thirty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 937 1224 1258 1332 1874 1887 2516 2664 2811 3748 3774 5032 5622 5661 7496 7548 8433 11244 11322 15096 15929 16866 22488 22644 31858 33732 34669 45288 47787 63716 67464 69338 95574 104007 127432 138676 143361 191148 208014 277352 286722 312021 382296 416028 573444 589373 624042 832056 1146888 1178746 1248084 1768119 2357492 2496168 3536238 4714984 5304357 7072476 10608714 14144952 21217428 42434856