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57473442 = 233131931139
BaseRepresentation
bin1101101100111…
…1100110100010
311000010221202000
43123033212202
5104203122232
65411504430
71265342025
oct333174642
9130127660
1057473442
112a495714
12172b8116
13bba3c70
1478c11bc
1550a427c
hex36cf9a2

57473442 has 128 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 16096320.

The previous prime is 57473417. The next prime is 57473443. The reversal of 57473442 is 24437475.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57473397 and 57473406.

It is not an unprimeable number, because it can be changed into a prime (57473443) 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, 413409 + ... + 413547.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 257473442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57473442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264000).

57473442 is an abundant number, since it is smaller than the sum of its proper divisors (93054558).

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

57473442 is a wasteful number, since it uses less digits than its factorization.

57473442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 57473442 is about 7581.1240591353. The cubic root of 57473442 is about 385.9126982712.

The spelling of 57473442 in words is "fifty-seven million, four hundred seventy-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 31 38 39 54 57 62 78 93 114 117 139 171 186 234 247 278 279 342 351 403 417 494 513 558 589 702 741 806 834 837 1026 1178 1209 1251 1482 1674 1767 1807 2223 2418 2502 2641 3534 3614 3627 3753 4309 4446 5282 5301 5421 6669 7254 7506 7657 7923 8618 10602 10842 10881 12927 13338 15314 15846 15903 16263 21762 22971 23769 25854 31806 32526 34333 38781 45942 47538 48789 56017 68666 68913 71307 77562 81871 97578 102999 112034 116343 137826 142614 163742 168051 205998 206739 232686 245613 308997 336102 413478 491226 504153 617994 736839 926991 1008306 1064323 1473678 1512459 1853982 2128646 2210517 3024918 3192969 4421034 6385938 9578907 19157814 28736721 57473442