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42672312 = 23331711621
BaseRepresentation
bin1010001011001…
…0000010111000
32222021222102000
42202302002320
541411003222
64122341000
71025465034
oct242620270
988258360
1042672312
11220a6381
121235a760
138ac0cb7
14594b1c4
153b2d9ac
hex28b20b8

42672312 has 64 divisors (see below), whose sum is σ = 125517600. Its totient is φ = 13386240.

The previous prime is 42672307. The next prime is 42672317. The reversal of 42672312 is 21327624.

42672312 is a `hidden beast` number, since 426 + 7 + 231 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42672307) and next prime (42672317).

It is a super-2 number, since 2×426723122 = 3641852422850688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42672317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139 + ... + 9482.

Almost surely, 242672312 is an apocalyptic number.

It is an amenable number.

42672312 is an abundant number, since it is smaller than the sum of its proper divisors (82845288).

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

42672312 is a wasteful number, since it uses less digits than its factorization.

42672312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11653 (or 11643 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42672312 is about 6532.4047639441. The cubic root of 42672312 is about 349.4475966302.

Adding to 42672312 its reverse (21327624), we get a palindrome (63999936).

The spelling of 42672312 in words is "forty-two million, six hundred seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 11621 23242 34863 46484 69726 92968 104589 139452 197557 209178 278904 313767 395114 418356 592671 627534 790228 836712 1185342 1255068 1580456 1778013 2370684 2510136 3556026 4741368 5334039 7112052 10668078 14224104 21336156 42672312