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42151993 = 1317296577
BaseRepresentation
bin1010000011001…
…1000000111001
32221022112122221
42200303000321
541242330433
64103244041
71021200052
oct240630071
987275587
1042151993
1121880464
1212149621
13896b210
145853729
153a7972d
hex2833039

42151993 has 16 divisors (see below), whose sum is σ = 49729680. Its totient is φ = 35352576.

The previous prime is 42151987. The next prime is 42151999. The reversal of 42151993 is 39915124.

It is an interprime number because it is at equal distance from previous prime (42151987) and next prime (42151999).

It can be written as a sum of positive squares in 8 ways, for example, as 3873024 + 38278969 = 1968^2 + 6187^2 .

It is a cyclic number.

It is not a de Polignac number, because 42151993 - 25 = 42151961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42151999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121 + ... + 9697.

It is an arithmetic number, because the mean of its divisors is an integer number (3108105).

Almost surely, 242151993 is an apocalyptic number.

It is an amenable number.

42151993 is a deficient number, since it is larger than the sum of its proper divisors (7577687).

42151993 is a wasteful number, since it uses less digits than its factorization.

42151993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636.

The product of its digits is 9720, while the sum is 34.

The square root of 42151993 is about 6492.4566228817. The cubic root of 42151993 is about 348.0214705782.

The spelling of 42151993 in words is "forty-two million, one hundred fifty-one thousand, nine hundred ninety-three".

Divisors: 1 13 17 29 221 377 493 6409 6577 85501 111809 190733 1453517 2479529 3242461 42151993