Search a number
-
+
42500592 = 2433131751
BaseRepresentation
bin1010001000100…
…0000111110000
32221222020212000
42202020013300
541340004332
64114534000
71024151301
oct242100760
987866760
1042500592
1121a99362
1212297300
138a60aa4
1459047a8
153ae7b7c
hex28881f0

42500592 has 80 divisors (see below), whose sum is σ = 123087360. Its totient is φ = 14040000.

The previous prime is 42500569. The next prime is 42500609. The reversal of 42500592 is 29500524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 56217 + ... + 56967.

It is an arithmetic number, because the mean of its divisors is an integer number (1538592).

Almost surely, 242500592 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 42500592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61543680).

42500592 is an abundant number, since it is smaller than the sum of its proper divisors (80586768).

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

42500592 is a wasteful number, since it uses less digits than its factorization.

42500592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 42500592 is about 6519.2478093719. The cubic root of 42500592 is about 348.9782226842.

The spelling of 42500592 in words is "forty-two million, five hundred thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 751 786 1048 1179 1502 1572 2096 2253 2358 3004 3144 3537 4506 4716 6008 6288 6759 7074 9012 9432 12016 13518 14148 18024 18864 20277 27036 28296 36048 40554 54072 56592 81108 98381 108144 162216 196762 295143 324432 393524 590286 787048 885429 1180572 1574096 1770858 2361144 2656287 3541716 4722288 5312574 7083432 10625148 14166864 21250296 42500592