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42876990 = 23251322819
BaseRepresentation
bin1010001110010…
…0000000111110
32222200101011200
42203210000332
541434030430
64131000330
71030306542
oct243440076
988611150
1042876990
1122226132
12124390a6
138b63200
1459a1a22
153b6e460
hex28e403e

42876990 has 72 divisors (see below), whose sum is σ = 120758040. Its totient is φ = 10550592.

The previous prime is 42876979. The next prime is 42877001. The reversal of 42876990 is 9967824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42876979) and next prime (42877001).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 13801 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (1677195).

Almost surely, 242876990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42876990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60379020).

42876990 is an abundant number, since it is smaller than the sum of its proper divisors (77881050).

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

42876990 is a wasteful number, since it uses less digits than its factorization.

42876990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 42876990 is about 6548.0523821973. The cubic root of 42876990 is about 350.0054148822.

The spelling of 42876990 in words is "forty-two million, eight hundred seventy-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 2819 3042 5070 5638 7605 8457 14095 15210 16914 25371 28190 36647 42285 50742 73294 84570 109941 126855 183235 219882 253710 329823 366470 476411 549705 659646 952822 1099410 1429233 1649115 2382055 2858466 3298230 4287699 4764110 7146165 8575398 14292330 21438495 42876990