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42746292 = 2234131933
BaseRepresentation
bin1010001100010…
…0000110110100
32222102201220000
42203010012310
541420340132
64124111300
71026223521
oct243040664
988381800
1042746292
1122146a16
1212395530
138b18884
14596a148
153b4587c
hex28c41b4

42746292 has 30 divisors (see below), whose sum is σ = 111748098. Its totient is φ = 14248656.

The previous prime is 42746287. The next prime is 42746293. The reversal of 42746292 is 29264724.

42746292 is a `hidden beast` number, since 4 + 27 + 4 + 629 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37015056 + 5731236 = 6084^2 + 2394^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42746293) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65643 + ... + 66290.

Almost surely, 242746292 is an apocalyptic number.

It is an amenable number.

42746292 is an abundant number, since it is smaller than the sum of its proper divisors (69001806).

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

42746292 is a wasteful number, since it uses less digits than its factorization.

42746292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131949 (or 131938 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42746292 is about 6538.0648513150. The cubic root of 42746292 is about 349.6494231122.

The spelling of 42746292 in words is "forty-two million, seven hundred forty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 131933 263866 395799 527732 791598 1187397 1583196 2374794 3562191 4749588 7124382 10686573 14248764 21373146 42746292