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42036904 = 23721373113
BaseRepresentation
bin1010000001011…
…0111010101000
32221002200210101
42200112322220
541230140104
64100555144
71020210400
oct240267250
987080711
1042036904
1121801a48
12120b2ab4
13892aa10
145823800
153a555a4
hex2816ea8

42036904 has 96 divisors (see below), whose sum is σ = 100978920. Its totient is φ = 16257024.

The previous prime is 42036889. The next prime is 42036913. The reversal of 42036904 is 40963024.

It can be written as a sum of positive squares in 4 ways, for example, as 17056900 + 24980004 = 4130^2 + 4998^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371952 + ... + 372064.

Almost surely, 242036904 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 42036904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50489460).

42036904 is an abundant number, since it is smaller than the sum of its proper divisors (58942016).

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

42036904 is a wasteful number, since it uses less digits than its factorization.

42036904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 42036904 is about 6483.5872786599. The cubic root of 42036904 is about 347.7044436427.

Adding to 42036904 its reverse (40963024), we get a palindrome (82999928).

The spelling of 42036904 in words is "forty-two million, thirty-six thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 113 146 182 196 226 292 364 392 452 511 584 637 728 791 904 949 1022 1274 1469 1582 1898 2044 2548 2938 3164 3577 3796 4088 5096 5537 5876 6328 6643 7154 7592 8249 10283 11074 11752 13286 14308 16498 20566 22148 26572 28616 32996 41132 44296 46501 53144 57743 65992 71981 82264 93002 107237 115486 143962 186004 214474 230972 287924 372008 404201 428948 461944 575848 750659 808402 857896 1501318 1616804 3002636 3233608 5254613 6005272 10509226 21018452 42036904