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42884280 = 23325139857
BaseRepresentation
bin1010001110010…
…1110010111000
32222200202011200
42203211302320
541434244110
64131054200
71030340025
oct243456270
988622150
1042884280
112223065a
1212441360
138b6661a
1459a454c
153b716c0
hex28e5cb8

42884280 has 96 divisors (see below), whose sum is σ = 140540400. Its totient is φ = 11340288.

The previous prime is 42884279. The next prime is 42884321. The reversal of 42884280 is 8248824.

42884280 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 2×428842802 = 3678122942236800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 49612 + ... + 50468.

Almost surely, 242884280 is an apocalyptic number.

42884280 is a gapful number since it is divisible by the number (40) 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 42884280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70270200).

42884280 is an abundant number, since it is smaller than the sum of its proper divisors (97656120).

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

42884280 is a wasteful number, since it uses less digits than its factorization.

42884280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42884280 is about 6548.6090126072. The cubic root of 42884280 is about 350.0252498790.

The spelling of 42884280 in words is "forty-two million, eight hundred eighty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 857 1112 1251 1390 1668 1714 2085 2502 2571 2780 3336 3428 4170 4285 5004 5142 5560 6255 6856 7713 8340 8570 10008 10284 12510 12855 15426 16680 17140 20568 25020 25710 30852 34280 38565 50040 51420 61704 77130 102840 119123 154260 238246 308520 357369 476492 595615 714738 952984 1072107 1191230 1429476 1786845 2144214 2382460 2858952 3573690 4288428 4764920 5360535 7147380 8576856 10721070 14294760 21442140 42884280