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42231504 = 2437374379
BaseRepresentation
bin1010000100011…
…0011011010000
32221110120201210
42201012123100
541302402004
64105100120
71021650630
oct241063320
987416653
1042231504
1121925177
1212187640
138998473
1458746c0
153a93089
hex28466d0

42231504 has 160 divisors (see below), whose sum is σ = 132689920. Its totient is φ = 11321856.

The previous prime is 42231499. The next prime is 42231559. The reversal of 42231504 is 40513224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534537 + ... + 534615.

It is an arithmetic number, because the mean of its divisors is an integer number (829312).

Almost surely, 242231504 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 42231504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66344960).

42231504 is an abundant number, since it is smaller than the sum of its proper divisors (90458416).

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

42231504 is a wasteful number, since it uses less digits than its factorization.

42231504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42231504 is about 6498.5770750219. The cubic root of 42231504 is about 348.2401565961.

Adding to 42231504 its reverse (40513224), we get a palindrome (82744728).

The spelling of 42231504 in words is "forty-two million, two hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 43 48 56 74 79 84 86 111 112 129 148 158 168 172 222 237 258 259 296 301 316 336 344 444 474 516 518 553 592 602 632 688 777 888 903 948 1032 1036 1106 1204 1264 1554 1591 1659 1776 1806 1896 2064 2072 2212 2408 2923 3108 3182 3318 3397 3612 3792 4144 4424 4773 4816 5846 6216 6364 6636 6794 7224 8769 8848 9546 10191 11137 11692 12432 12728 13272 13588 14448 17538 19092 20382 20461 22274 23384 23779 25456 26544 27176 33411 35076 38184 40764 40922 44548 46768 47558 54352 61383 66822 70152 71337 76368 81528 81844 89096 95116 122766 125689 133644 140304 142674 163056 163688 178192 190232 245532 251378 267288 285348 327376 377067 380464 491064 502756 534576 570696 754134 879823 982128 1005512 1141392 1508268 1759646 2011024 2639469 3016536 3519292 5278938 6033072 7038584 10557876 14077168 21115752 42231504