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42706656 = 253349429
BaseRepresentation
bin1010001011101…
…0011011100000
32222100201112000
42202322123200
541413103111
64123204000
71026000126
oct242723340
988321460
1042706656
112211a163
1212376600
138b03815
145959916
153b38c56
hex28ba6e0

42706656 has 48 divisors (see below), whose sum is σ = 124563600. Its totient is φ = 14235264.

The previous prime is 42706639. The next prime is 42706663. The reversal of 42706656 is 65660724.

It is a tau number, because it is divible by the number of its divisors (48).

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 42706656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23851 + ... + 25578.

It is an arithmetic number, because the mean of its divisors is an integer number (2595075).

Almost surely, 242706656 is an apocalyptic number.

It is an amenable number.

42706656 is an abundant number, since it is smaller than the sum of its proper divisors (81856944).

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

42706656 is a wasteful number, since it uses less digits than its factorization.

42706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49448 (or 49434 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 42706656 is about 6535.0329761984. The cubic root of 42706656 is about 349.5413202450.

The spelling of 42706656 in words is "forty-two million, seven hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 49429 98858 148287 197716 296574 395432 444861 593148 790864 889722 1186296 1334583 1581728 1779444 2372592 2669166 3558888 4745184 5338332 7117776 10676664 14235552 21353328 42706656