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42679420 = 2257595167
BaseRepresentation
bin1010001011001…
…1110001111100
32222022100011021
42202303301330
541411220140
64122433524
71025524540
oct242636174
988270137
1042679420
1122100753
12123628a4
138ac42c4
14594da20
153b30b4a
hex28b3c7c

42679420 has 48 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 14382144.

The previous prime is 42679409. The next prime is 42679433. The reversal of 42679420 is 2497624.

It is a congruent number.

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, 5677 + ... + 10843.

It is an arithmetic number, because the mean of its divisors is an integer number (2170560).

Almost surely, 242679420 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 42679420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

42679420 is an abundant number, since it is smaller than the sum of its proper divisors (61507460).

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

42679420 is a wasteful number, since it uses less digits than its factorization.

42679420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42679420 is about 6532.9487982074. The cubic root of 42679420 is about 349.4669982476.

The spelling of 42679420 in words is "forty-two million, six hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 5167 8260 10334 20668 25835 36169 51670 72338 103340 144676 180845 304853 361690 609706 723380 1219412 1524265 2133971 3048530 4267942 6097060 8535884 10669855 21339710 42679420