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42592992 = 2531334129
BaseRepresentation
bin1010001001111…
…0101011100000
32222010221121020
42202132223200
541400433432
64120525440
71025014551
oct242365340
988127536
1042592992
1122051822
1212320880
138a93b70
14592a328
153b1522c
hex289eae0

42592992 has 48 divisors (see below), whose sum is σ = 120410640. Its totient is φ = 13105152.

The previous prime is 42592969. The next prime is 42592993. The reversal of 42592992 is 29929524.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42592993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15817 + ... + 18312.

It is an arithmetic number, because the mean of its divisors is an integer number (2508555).

Almost surely, 242592992 is an apocalyptic number.

It is an amenable number.

42592992 is an abundant number, since it is smaller than the sum of its proper divisors (77817648).

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

42592992 is a wasteful number, since it uses less digits than its factorization.

42592992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34155 (or 34147 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 42592992 is about 6526.3306689134. The cubic root of 42592992 is about 349.2309426755.

The spelling of 42592992 in words is "forty-two million, five hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 34129 68258 102387 136516 204774 273032 409548 443677 546064 819096 887354 1092128 1331031 1638192 1774708 2662062 3276384 3549416 5324124 7098832 10648248 14197664 21296496 42592992