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42870492 = 2233728101
BaseRepresentation
bin1010001110001…
…0011011011100
32222200001021000
42203202123130
541433323432
64130510300
71030251600
oct243423334
988601230
1042870492
1122221265
1212435390
138b60272
14599d500
153b6c57c
hex28e26dc

42870492 has 72 divisors (see below), whose sum is σ = 129307920. Its totient is φ = 12247200.

The previous prime is 42870449. The next prime is 42870493. The reversal of 42870492 is 29407824.

42870492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42870493) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1242 + ... + 9342.

Almost surely, 242870492 is an apocalyptic number.

42870492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42870492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64653960).

42870492 is an abundant number, since it is smaller than the sum of its proper divisors (86437428).

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

42870492 is a wasteful number, since it uses less digits than its factorization.

42870492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42870492 is about 6547.5561853259. The cubic root of 42870492 is about 349.9877329034.

The spelling of 42870492 in words is "forty-two million, eight hundred seventy thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 8101 16202 24303 32404 48606 56707 72909 97212 113414 145818 170121 218727 226828 291636 340242 396949 437454 510363 680484 793898 874908 1020726 1190847 1531089 1587796 2041452 2381694 3062178 3572541 4763388 6124356 7145082 10717623 14290164 21435246 42870492