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42491580 = 22352341751
BaseRepresentation
bin1010001000010…
…1111010111100
32221221210111020
42202011322330
541334212310
64114424140
71024113105
oct242057274
987853436
1042491580
1121a9260a
1212292050
138a59961
1459013ac
153ae5170
hex2885ebc

42491580 has 96 divisors (see below), whose sum is σ = 127346688. Its totient is φ = 10560000.

The previous prime is 42491573. The next prime is 42491587. The reversal of 42491580 is 8519424.

42491580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42491573) and next prime (42491587).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42491587) 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 31 ways as a sum of consecutive naturals, for example, 56205 + ... + 56955.

It is an arithmetic number, because the mean of its divisors is an integer number (1326528).

Almost surely, 242491580 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 42491580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63673344).

42491580 is an abundant number, since it is smaller than the sum of its proper divisors (84855108).

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

42491580 is a wasteful number, since it uses less digits than its factorization.

42491580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42491580 is about 6518.5565886935. The cubic root of 42491580 is about 348.9535546822.

It can be divided in two parts, 42491 and 580, that added together give a triangular number (43071 = T293).

The spelling of 42491580 in words is "forty-two million, four hundred ninety-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 615 690 751 820 943 1230 1380 1502 1886 2253 2460 2829 3004 3755 3772 4506 4715 5658 7510 9012 9430 11265 11316 14145 15020 17273 18860 22530 28290 30791 34546 45060 51819 56580 61582 69092 86365 92373 103638 123164 153955 172730 184746 207276 259095 307910 345460 369492 461865 518190 615820 708193 923730 1036380 1416386 1847460 2124579 2832772 3540965 4249158 7081930 8498316 10622895 14163860 21245790 42491580