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42473592 = 2333724013
BaseRepresentation
bin1010001000000…
…1100001111000
32221220212211000
42202001201320
541333123332
64114205000
71024006500
oct242014170
987825730
1042473592
1121a80047
1212283760
138a51705
1458d8a00
153adeb7c
hex2881878

42473592 has 96 divisors (see below), whose sum is σ = 137278800. Its totient is φ = 12132288.

The previous prime is 42473539. The next prime is 42473593. The reversal of 42473592 is 29537424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42473593) 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, 8578 + ... + 12590.

Almost surely, 242473592 is an apocalyptic number.

42473592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42473592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68639400).

42473592 is an abundant number, since it is smaller than the sum of its proper divisors (94805208).

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

42473592 is a wasteful number, since it uses less digits than its factorization.

42473592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4025 counting only the distinct ones).

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

The square root of 42473592 is about 6517.1766893341. The cubic root of 42473592 is about 348.9043067881.

The spelling of 42473592 in words is "forty-two million, four hundred seventy-three thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 4013 5292 8026 10584 12039 16052 24078 28091 32104 36117 48156 56182 72234 84273 96312 108351 112364 144468 168546 196637 216702 224728 252819 288936 337092 393274 433404 505638 589911 674184 758457 786548 866808 1011276 1179822 1516914 1573096 1769733 2022552 2359644 3033828 3539466 4719288 5309199 6067656 7078932 10618398 14157864 21236796 42473592