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42469938 = 23273183131
BaseRepresentation
bin1010001000000…
…0101000110010
32221220200210200
42202000220302
541333014223
64114140030
71023663030
oct242005062
987820720
1042469938
1121a78325
1212281616
138a4cb54
1458d7550
153adda43
hex2880a32

42469938 has 96 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 11512800.

The previous prime is 42469919. The next prime is 42469951. The reversal of 42469938 is 83996424.

It is a junction number, because it is equal to n+sod(n) for n = 42469893 and 42469902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324133 + ... + 324263.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 242469938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42469938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351296).

42469938 is an abundant number, since it is smaller than the sum of its proper divisors (68232654).

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

42469938 is a wasteful number, since it uses less digits than its factorization.

42469938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 42469938 is about 6516.8963471886. The cubic root of 42469938 is about 348.8943010972.

The spelling of 42469938 in words is "forty-two million, four hundred sixty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 83 93 126 131 166 186 217 249 262 279 393 434 498 558 581 651 747 786 917 1162 1179 1302 1494 1743 1834 1953 2358 2573 2751 3486 3906 4061 5146 5229 5502 7719 8122 8253 10458 10873 12183 15438 16506 18011 21746 23157 24366 28427 32619 36022 36549 46314 54033 56854 65238 73098 76111 85281 97857 108066 152222 162099 170562 195714 228333 255843 324198 337063 456666 511686 674126 684999 1011189 1369998 2022378 2359441 3033567 4718882 6067134 7078323 14156646 21234969 42469938