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42136362 = 234298969
BaseRepresentation
bin1010000010111…
…1001100101010
32221021202020000
42200233030222
541241330422
64103043430
71021103352
oct240571452
987252200
1042136362
112186a744
1212140576
138964078
14584bb62
153a74cac
hex282f32a

42136362 has 40 divisors (see below), whose sum is σ = 97683300. Its totient is φ = 13559616.

The previous prime is 42136349. The next prime is 42136379. The reversal of 42136362 is 26363124.

42136362 is a `hidden beast` number, since 4 + 21 + 3 + 636 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42107121 + 29241 = 6489^2 + 171^2 .

It is a super-4 number, since 4×421363624 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214 + ... + 9182.

Almost surely, 242136362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42136362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48841650).

42136362 is an abundant number, since it is smaller than the sum of its proper divisors (55546938).

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

42136362 is a wasteful number, since it uses less digits than its factorization.

42136362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 9003 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 42136362 is about 6491.2527296355. The cubic root of 42136362 is about 347.9784469410.

Adding to 42136362 its reverse (26363124), we get a palindrome (68499486).

The spelling of 42136362 in words is "forty-two million, one hundred thirty-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 8969 17938 26907 53814 80721 161442 242163 260101 484326 520202 726489 780303 1452978 1560606 2340909 4681818 7022727 14045454 21068181 42136362