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42957516 = 22372431699
BaseRepresentation
bin1010001111011…
…1101011001100
32222211110122010
42203313223030
541444120031
64132421220
71031063400
oct243675314
988743563
1042957516
1122280688
1212477810
138b90a64
1459c3100
153b88246
hex28f7acc

42957516 has 72 divisors (see below), whose sum is σ = 119380800. Its totient is φ = 11981088.

The previous prime is 42957493. The next prime is 42957539. The reversal of 42957516 is 61575924.

It is an interprime number because it is at equal distance from previous prime (42957493) and next prime (42957539).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24435 + ... + 26133.

Almost surely, 242957516 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 42957516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59690400).

42957516 is an abundant number, since it is smaller than the sum of its proper divisors (76423284).

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

42957516 is a wasteful number, since it uses less digits than its factorization.

42957516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1754 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 42957516 is about 6554.1983491500. The cubic root of 42957516 is about 350.2243894437.

It can be divided in two parts, 4295 and 7516, that added together give a palindrome (11811).

The spelling of 42957516 in words is "forty-two million, nine hundred fifty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1699 1806 2107 3398 3612 4214 5097 6321 6796 8428 10194 11893 12642 20388 23786 25284 35679 47572 71358 73057 83251 142716 146114 166502 219171 249753 292228 333004 438342 499506 511399 876684 999012 1022798 1534197 2045596 3068394 3579793 6136788 7159586 10739379 14319172 21478758 42957516