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42038360 = 23571311549
BaseRepresentation
bin1010000001011…
…1010001011000
32221002202210022
42200113101120
541230211420
64101010012
71020214550
oct240272130
987082708
1042038360
1121803051
12120b3908
13892b590
145824160
153a55c25
hex2817458

42038360 has 64 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 13303296.

The previous prime is 42038323. The next prime is 42038369. The reversal of 42038360 is 6383024.

It is a super-2 number, since 2×420383602 = 3534447422979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42038369) 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, 2135 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (1819125).

Almost surely, 242038360 is an apocalyptic number.

42038360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42038360 is an abundant number, since it is smaller than the sum of its proper divisors (74385640).

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

42038360 is a wasteful number, since it uses less digits than its factorization.

42038360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11576 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 42038360 is about 6483.6995612073. The cubic root of 42038360 is about 347.7084579870.

The spelling of 42038360 in words is "forty-two million, thirty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 11549 23098 46196 57745 80843 92392 115490 150137 161686 230980 300274 323372 404215 461960 600548 646744 750685 808430 1050959 1201096 1501370 1616860 2101918 3002740 3233720 4203836 5254795 6005480 8407672 10509590 21019180 42038360