Search a number
-
+
42381588 = 22331591931
BaseRepresentation
bin1010000110101…
…1000100010100
32221202012121110
42201223010110
541322202323
64112215020
71023144324
oct241530424
987665543
1042381588
1121a17a07
121223a470
138a1b882
1458b3284
153ac2793
hex286b114

42381588 has 48 divisors (see below), whose sum is σ = 103864320. Its totient is φ = 13432800.

The previous prime is 42381569. The next prime is 42381589. The reversal of 42381588 is 88518324.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42381589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20983 + ... + 22913.

It is an arithmetic number, because the mean of its divisors is an integer number (2163840).

Almost surely, 242381588 is an apocalyptic number.

It is an amenable number.

42381588 is an abundant number, since it is smaller than the sum of its proper divisors (61482732).

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

42381588 is a wasteful number, since it uses less digits than its factorization.

42381588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2026 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 42381588 is about 6510.1142847111. The cubic root of 42381588 is about 348.6521987805.

The spelling of 42381588 in words is "forty-two million, three hundred eighty-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 31 59 62 93 118 124 177 186 236 354 372 708 1829 1931 3658 3862 5487 5793 7316 7724 10974 11586 21948 23172 59861 113929 119722 179583 227858 239444 341787 359166 455716 683574 718332 1367148 3531799 7063598 10595397 14127196 21190794 42381588