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42679320 = 23351918719
BaseRepresentation
bin1010001011001…
…1110000011000
32222022100000120
42202303300120
541411214240
64122433240
71025524335
oct242636030
988270016
1042679320
1122100672
1212362820
138ac4248
14594d98c
153b30ad0
hex28b3c18

42679320 has 64 divisors (see below), whose sum is σ = 134784000. Its totient is φ = 10781568.

The previous prime is 42679313. The next prime is 42679369. The reversal of 42679320 is 2397624.

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 15 ways as a sum of consecutive naturals, for example, 7080 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 242679320 is an apocalyptic number.

42679320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42679320 is an abundant number, since it is smaller than the sum of its proper divisors (92104680).

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

42679320 is a wasteful number, since it uses less digits than its factorization.

42679320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 42679320 is about 6532.9411446913. The cubic root of 42679320 is about 349.4667253079.

The spelling of 42679320 in words is "forty-two million, six hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 18719 37438 56157 74876 93595 112314 149752 187190 224628 280785 355661 374380 449256 561570 711322 748760 1066983 1123140 1422644 1778305 2133966 2246280 2845288 3556610 4267932 5334915 7113220 8535864 10669830 14226440 21339660 42679320