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42637950 = 23252412311
BaseRepresentation
bin1010001010100…
…1101001111110
32222020020021100
42202221221332
541403403300
64121513530
71025262615
oct242515176
988206240
1042637950
1122082583
12123428a6
138aab474
14593c87c
153b23700
hex28a9a7e

42637950 has 72 divisors (see below), whose sum is σ = 117398736. Its totient is φ = 11088000.

The previous prime is 42637937. The next prime is 42637997. The reversal of 42637950 is 5973624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17295 + ... + 19605.

It is an arithmetic number, because the mean of its divisors is an integer number (1630538).

Almost surely, 242637950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42637950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58699368).

42637950 is an abundant number, since it is smaller than the sum of its proper divisors (74760786).

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

42637950 is a wasteful number, since it uses less digits than its factorization.

42637950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42637950 is about 6529.7741155418. The cubic root of 42637950 is about 349.3537735532.

The spelling of 42637950 in words is "forty-two million, six hundred thirty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 2311 3075 3690 4622 6150 6933 9225 11555 13866 18450 20799 23110 34665 41598 57775 69330 94751 103995 115550 173325 189502 207990 284253 346650 473755 519975 568506 852759 947510 1039950 1421265 1705518 2368775 2842530 4263795 4737550 7106325 8527590 14212650 21318975 42637950