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42693732 = 22321769761
BaseRepresentation
bin1010001011011…
…1010001100100
32222100001210100
42202313101210
541412144412
64123024100
71025614344
oct242672144
988301710
1042693732
1122110484
121236b030
138aca983
145954d24
153b34edc
hex28b7464

42693732 has 36 divisors (see below), whose sum is σ = 114270156. Its totient is φ = 13393920.

The previous prime is 42693731. The next prime is 42693787. The reversal of 42693732 is 23739624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 9585216 = 5754^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (42693731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34269 + ... + 35492.

It is an arithmetic number, because the mean of its divisors is an integer number (3174171).

Almost surely, 242693732 is an apocalyptic number.

It is an amenable number.

42693732 is an abundant number, since it is smaller than the sum of its proper divisors (71576424).

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

42693732 is a wasteful number, since it uses less digits than its factorization.

42693732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69788 (or 69783 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 42693732 is about 6534.0440769863. The cubic root of 42693732 is about 349.5060569846.

It can be divided in two parts, 4269 and 3732, that added together give a triangular number (8001 = T126).

The spelling of 42693732 in words is "forty-two million, six hundred ninety-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 69761 139522 209283 279044 418566 627849 837132 1185937 1255698 2371874 2511396 3557811 4743748 7115622 10673433 14231244 21346866 42693732