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42870460 = 225191011117
BaseRepresentation
bin1010001110001…
…0011010111100
32222200001012211
42203202122330
541433323320
64130510204
71030251523
oct243423274
988601184
1042870460
1122221236
1212435364
138b60249
14599d4ba
153b6c55a
hex28e26bc

42870460 has 48 divisors (see below), whose sum is σ = 95790240. Its totient is φ = 16070400.

The previous prime is 42870449. The next prime is 42870493. The reversal of 42870460 is 6407824.

42870460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428704602 = 3675752681223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37822 + ... + 38938.

It is an arithmetic number, because the mean of its divisors is an integer number (1995630).

Almost surely, 242870460 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 42870460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47895120).

42870460 is an abundant number, since it is smaller than the sum of its proper divisors (52919780).

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

42870460 is a wasteful number, since it uses less digits than its factorization.

42870460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 42870460 is about 6547.5537416657. The cubic root of 42870460 is about 349.9876458224.

The spelling of 42870460 in words is "forty-two million, eight hundred seventy thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1117 1919 2020 2234 3838 4468 5585 7676 9595 11170 19190 21223 22340 38380 42446 84892 106115 112817 212230 225634 424460 451268 564085 1128170 2143523 2256340 4287046 8574092 10717615 21435230 42870460