Search a number
-
+
42291620 = 22572931031
BaseRepresentation
bin1010000101010…
…1000110100100
32221120122012022
42201111012210
541311312440
64110242312
71022321120
oct241250644
987518168
1042291620
1121966358
12121b6398
1389b9937
14588c580
153aa5cb5
hex28551a4

42291620 has 48 divisors (see below), whose sum is σ = 101945088. Its totient is φ = 14436480.

The previous prime is 42291617. The next prime is 42291649. The reversal of 42291620 is 2619224.

It is a super-2 number, since 2×422916202 = 3577162244448800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42291620.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40505 + ... + 41535.

It is an arithmetic number, because the mean of its divisors is an integer number (2123856).

Almost surely, 242291620 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 42291620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50972544).

42291620 is an abundant number, since it is smaller than the sum of its proper divisors (59653468).

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

42291620 is a wasteful number, since it uses less digits than its factorization.

42291620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 42291620 is about 6503.2007503998. The cubic root of 42291620 is about 348.4053167068.

The spelling of 42291620 in words is "forty-two million, two hundred ninety-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1031 1172 1465 2051 2062 2930 4102 4124 5155 5860 7217 8204 10255 10310 14434 20510 20620 28868 36085 41020 72170 144340 302083 604166 1208332 1510415 2114581 3020830 4229162 6041660 8458324 10572905 21145810 42291620