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42428232 = 23337112551
BaseRepresentation
bin1010000111011…
…0011101001000
32221211120121000
42201312131020
541330200412
64113215000
71023430320
oct241663510
987746530
1042428232
1121a49a60
1212261460
138a36b82
1458c6280
153ad14dc
hex2876748

42428232 has 128 divisors (see below), whose sum is σ = 146995200. Its totient is φ = 11016000.

The previous prime is 42428213. The next prime is 42428237. The reversal of 42428232 is 23282424.

42428232 is a `hidden beast` number, since 4 + 2 + 428 + 232 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 42428196 and 42428205.

It is not an unprimeable number, because it can be changed into a prime (42428237) 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, 15357 + ... + 17907.

It is an arithmetic number, because the mean of its divisors is an integer number (1148400).

Almost surely, 242428232 is an apocalyptic number.

42428232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42428232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497600).

42428232 is an abundant number, since it is smaller than the sum of its proper divisors (104566968).

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

42428232 is a wasteful number, since it uses less digits than its factorization.

42428232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2574 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42428232 is about 6513.6957251625. The cubic root of 42428232 is about 348.7800575319.

The spelling of 42428232 in words is "forty-two million, four hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2551 2772 4158 5102 5544 7653 8316 10204 15306 16632 17857 20408 22959 28061 30612 35714 45918 53571 56122 61224 68877 71428 84183 91836 107142 112244 137754 142856 160713 168366 183672 196427 214284 224488 252549 275508 321426 336732 392854 428568 482139 505098 551016 589281 642852 673464 757647 785708 964278 1010196 1178562 1285704 1515294 1571416 1767843 1928556 2020392 2357124 3030588 3535686 3857112 4714248 5303529 6061176 7071372 10607058 14142744 21214116 42428232