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42656952 = 233133809
BaseRepresentation
bin1010001010111…
…0010010111000
32222021012100010
42202232102320
541410010302
64122141520
71025402202
oct242562270
988235303
1042656952
1122095888
12123518a0
138ab7000
145945772
153b2916c
hex28ae4b8

42656952 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 13108992.

The previous prime is 42656951. The next prime is 42656969. The reversal of 42656952 is 25965624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42656952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42656951) 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, 52324 + ... + 53132.

Almost surely, 242656952 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 42656952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

42656952 is an abundant number, since it is smaller than the sum of its proper divisors (73011048).

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

42656952 is a wasteful number, since it uses less digits than its factorization.

42656952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 827 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 42656952 is about 6531.2289808274. The cubic root of 42656952 is about 349.4056634345.

The spelling of 42656952 in words is "forty-two million, six hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 809 1014 1352 1618 2028 2197 2427 3236 4056 4394 4854 6472 6591 8788 9708 10517 13182 17576 19416 21034 26364 31551 42068 52728 63102 84136 126204 136721 252408 273442 410163 546884 820326 1093768 1640652 1777373 3281304 3554746 5332119 7109492 10664238 14218984 21328476 42656952