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42388488 = 23332967101
BaseRepresentation
bin1010000110110…
…0110000001000
32221202120002000
42201230300020
541322412423
64112311000
71023203412
oct241546010
987676060
1042388488
1121a2210a
1212242460
138a21a5c
1458b59b2
153ac4843
hex286cc08

42388488 has 128 divisors (see below), whose sum is σ = 124848000. Its totient is φ = 13305600.

The previous prime is 42388481. The next prime is 42388513. The reversal of 42388488 is 88488324.

It is a happy number.

It is a super-2 number, since 2×423884882 = 3593567829852288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42388481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419638 + ... + 419738.

It is an arithmetic number, because the mean of its divisors is an integer number (975375).

Almost surely, 242388488 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 42388488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62424000).

42388488 is an abundant number, since it is smaller than the sum of its proper divisors (82459512).

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

42388488 is a wasteful number, since it uses less digits than its factorization.

42388488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 42388488 is about 6510.6442077570. The cubic root of 42388488 is about 348.6711187073.

The spelling of 42388488 in words is "forty-two million, three hundred eighty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 67 72 87 101 108 116 134 174 201 202 216 232 261 268 303 348 402 404 522 536 603 606 696 783 804 808 909 1044 1206 1212 1566 1608 1809 1818 1943 2088 2412 2424 2727 2929 3132 3618 3636 3886 4824 5454 5829 5858 6264 6767 7236 7272 7772 8787 10908 11658 11716 13534 14472 15544 17487 17574 20301 21816 23316 23432 26361 27068 34974 35148 40602 46632 52461 52722 54136 60903 69948 70296 79083 81204 104922 105444 121806 139896 158166 162408 182709 196243 209844 210888 243612 316332 365418 392486 419688 487224 588729 632664 730836 784972 1177458 1461672 1569944 1766187 2354916 3532374 4709832 5298561 7064748 10597122 14129496 21194244 42388488