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42940584 = 2333613259
BaseRepresentation
bin1010001111001…
…1100010101000
32222210121102000
42203303202220
541443044314
64132211000
71030663131
oct243634250
988717360
1042940584
1122269995
1212469a60
138b8613b
1459bac88
153b83209
hex28f38a8

42940584 has 64 divisors (see below), whose sum is σ = 121272000. Its totient is φ = 14074560.

The previous prime is 42940567. The next prime is 42940591. The reversal of 42940584 is 48504924.

It is a super-2 number, since 2×429405842 = 3687787508522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11547 + ... + 14805.

It is an arithmetic number, because the mean of its divisors is an integer number (1894875).

Almost surely, 242940584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42940584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60636000).

42940584 is an abundant number, since it is smaller than the sum of its proper divisors (78331416).

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

42940584 is a wasteful number, since it uses less digits than its factorization.

42940584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42940584 is about 6552.9065306931. The cubic root of 42940584 is about 350.1783689471.

The spelling of 42940584 in words is "forty-two million, nine hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3259 3294 4392 6518 6588 9777 13036 13176 19554 26072 29331 39108 58662 78216 87993 117324 175986 198799 234648 351972 397598 596397 703944 795196 1192794 1590392 1789191 2385588 3578382 4771176 5367573 7156764 10735146 14313528 21470292 42940584