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42664860 = 22335711287
BaseRepresentation
bin1010001011000…
…0001110011100
32222021121012000
42202300032130
541410233420
64122242300
71025434230
oct242601634
988247160
1042664860
11220a0817
1212356390
138aba7a4
1459485c0
153b2b690
hex28b039c

42664860 has 96 divisors (see below), whose sum is σ = 151710720. Its totient is φ = 9751104.

The previous prime is 42664837. The next prime is 42664871. The reversal of 42664860 is 6846624.

It is a happy number.

42664860 is a `hidden beast` number, since 4 + 2 + 6 + 648 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1864 + ... + 9423.

It is an arithmetic number, because the mean of its divisors is an integer number (1580320).

Almost surely, 242664860 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 42664860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75855360).

42664860 is an abundant number, since it is smaller than the sum of its proper divisors (109045860).

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

42664860 is a wasteful number, since it uses less digits than its factorization.

42664860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42664860 is about 6531.8343518494. The cubic root of 42664860 is about 349.4272537352.

The spelling of 42664860 in words is "forty-two million, six hundred sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11287 22574 33861 45148 56435 67722 79009 101583 112870 135444 158018 169305 203166 225740 237027 304749 316036 338610 395045 406332 474054 507915 609498 677220 711081 790090 948108 1015830 1185135 1218996 1422162 1523745 1580180 2031660 2133243 2370270 2844324 3047490 3555405 4266486 4740540 6094980 7110810 8532972 10666215 14221620 21332430 42664860