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42593058 = 232171091277
BaseRepresentation
bin1010001001111…
…0101100100010
32222010221200200
42202132230202
541400434213
64120530030
71025015004
oct242365442
988127620
1042593058
1122051882
1212320916
138a93bc1
14592a374
153b15273
hex289eb22

42593058 has 48 divisors (see below), whose sum is σ = 98687160. Its totient is φ = 13229568.

The previous prime is 42593053. The next prime is 42593063. The reversal of 42593058 is 85039524.

It is an interprime number because it is at equal distance from previous prime (42593053) and next prime (42593063).

It can be written as a sum of positive squares in 4 ways, for example, as 42419169 + 173889 = 6513^2 + 417^2 .

It is a super-3 number, since 3×425930583 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42593051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32716 + ... + 33992.

Almost surely, 242593058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42593058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49343580).

42593058 is an abundant number, since it is smaller than the sum of its proper divisors (56094102).

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

42593058 is a wasteful number, since it uses less digits than its factorization.

42593058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 42593058 is about 6526.3357253516. The cubic root of 42593058 is about 349.2311230590.

The spelling of 42593058 in words is "forty-two million, five hundred ninety-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1277 1853 1962 2554 3706 3831 5559 7662 11118 11493 16677 21709 22986 33354 43418 65127 130254 139193 195381 278386 390762 417579 835158 1252737 2366281 2505474 4732562 7098843 14197686 21296529 42593058