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42564522 = 237111319373
BaseRepresentation
bin1010001001011…
…1101110101010
32222002111112210
42202113232222
541344031042
64120145550
71024535550
oct242275652
988074483
1042564522
11220323a0
12123082b6
138a83c10
14591dbd0
153b0ba9c
hex2897baa

42564522 has 128 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 9642240.

The previous prime is 42564521. The next prime is 42564527. The reversal of 42564522 is 22546524.

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 42564522.

It is not an unprimeable number, because it can be changed into a prime (42564521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113928 + ... + 114300.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 242564522 is an apocalyptic number.

42564522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42564522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

42564522 is an abundant number, since it is smaller than the sum of its proper divisors (78072918).

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

42564522 is a wasteful number, since it uses less digits than its factorization.

42564522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428.

The product of its digits is 19200, while the sum is 30.

The square root of 42564522 is about 6524.1491399262. The cubic root of 42564522 is about 349.1531143711.

It can be divided in two parts, 4256 and 4522, that added together give a palindrome (8778).

The spelling of 42564522 in words is "forty-two million, five hundred sixty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 19 21 22 26 33 38 39 42 57 66 77 78 91 114 133 143 154 182 209 231 247 266 273 286 373 399 418 429 462 494 546 627 741 746 798 858 1001 1119 1254 1463 1482 1729 2002 2238 2611 2717 2926 3003 3458 4103 4389 4849 5187 5222 5434 6006 7087 7833 8151 8206 8778 9698 10374 12309 14174 14547 15666 16302 19019 21261 24618 28721 29094 33943 38038 42522 49609 53339 57057 57442 67886 77957 86163 92131 99218 101829 106678 114114 148827 155914 160017 172326 184262 203658 233871 276393 297654 320034 373373 467742 545699 552786 644917 746746 1013441 1091398 1120119 1289834 1637097 1934751 2026882 2240238 3040323 3274194 3869502 6080646 7094087 14188174 21282261 42564522