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42687930 = 23531197233
BaseRepresentation
bin1010001011010…
…1110110111010
32222022202211110
42202311312322
541412003210
64122541150
71025561415
oct242656672
988282743
1042687930
112210708a
12123677b6
138ac813c
145952b7c
153b33420
hex28b5dba

42687930 has 64 divisors (see below), whose sum is σ = 106748928. Its totient is φ = 10913280.

The previous prime is 42687917. The next prime is 42687989. The reversal of 42687930 is 3978624.

It is a super-3 number, since 3×426879303 (a number of 24 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183094 + ... + 183326.

It is an arithmetic number, because the mean of its divisors is an integer number (1667952).

Almost surely, 242687930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42687930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374464).

42687930 is an abundant number, since it is smaller than the sum of its proper divisors (64060998).

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

42687930 is a wasteful number, since it uses less digits than its factorization.

42687930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 42687930 is about 6533.6000795886. The cubic root of 42687930 is about 349.4902238563.

The spelling of 42687930 in words is "forty-two million, six hundred eighty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 197 233 310 394 465 466 591 699 930 985 1165 1182 1398 1970 2330 2955 3495 5910 6107 6990 7223 12214 14446 18321 21669 30535 36115 36642 43338 45901 61070 72230 91605 91802 108345 137703 183210 216690 229505 275406 459010 688515 1377030 1422931 2845862 4268793 7114655 8537586 14229310 21343965 42687930