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42622580 = 225711132129
BaseRepresentation
bin1010001010010…
…1111001110100
32222012110012002
42202211321310
541402410310
64121314432
71025200040
oct242457164
988173162
1042622580
1122071a80
1212335a18
138aa4480
145937020
153b1dda5
hex28a5e74

42622580 has 96 divisors (see below), whose sum is σ = 120234240. Its totient is φ = 12257280.

The previous prime is 42622579. The next prime is 42622607. The reversal of 42622580 is 8522624.

42622580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 18956 + ... + 21084.

It is an arithmetic number, because the mean of its divisors is an integer number (1252440).

Almost surely, 242622580 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 42622580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60117120).

42622580 is an abundant number, since it is smaller than the sum of its proper divisors (77611660).

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

42622580 is a wasteful number, since it uses less digits than its factorization.

42622580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 42622580 is about 6528.5970927911. The cubic root of 42622580 is about 349.3117905090.

The spelling of 42622580 in words is "forty-two million, six hundred twenty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2129 2860 4004 4258 5005 8516 10010 10645 14903 20020 21290 23419 27677 29806 42580 46838 55354 59612 74515 93676 110708 117095 138385 149030 163933 193739 234190 276770 298060 304447 327866 387478 468380 553540 608894 655732 774956 819665 968695 1217788 1522235 1639330 1937390 2131129 3044470 3278660 3874780 4262258 6088940 8524516 10655645 21311290 42622580