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42357690 = 23252916229
BaseRepresentation
bin1010000110010…
…1001110111010
32221200222211100
42201211032322
541320421230
64111512230
71023014544
oct241451672
987628740
1042357690
1121a00a61
1212228676
138a10a2b
1458a8694
153aba660
hex28653ba

42357690 has 48 divisors (see below), whose sum is σ = 113934600. Its totient is φ = 10905216.

The previous prime is 42357649. The next prime is 42357691. The reversal of 42357690 is 9675324.

42357690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41563809 + 793881 = 6447^2 + 891^2 .

It is a super-2 number, since 2×423576902 = 3588347804272200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42357691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505 + ... + 10724.

Almost surely, 242357690 is an apocalyptic number.

42357690 is an abundant number, since it is smaller than the sum of its proper divisors (71576910).

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

42357690 is a wasteful number, since it uses less digits than its factorization.

42357690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271 (or 16268 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42357690 is about 6508.2785742468. The cubic root of 42357690 is about 348.5866541480.

The spelling of 42357690 in words is "forty-two million, three hundred fifty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 16229 32458 48687 81145 97374 146061 162290 243435 292122 470641 486870 730305 941282 1411923 1460610 2353205 2823846 4235769 4706410 7059615 8471538 14119230 21178845 42357690