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42304968 = 23322920261
BaseRepresentation
bin1010000101100…
…0010111001000
32221121022111200
42201120113020
541312224333
64110424200
71022405046
oct241302710
987538450
1042304968
1121975392
1212202060
1389c2a34
145893396
153aa9c13
hex28585c8

42304968 has 48 divisors (see below), whose sum is σ = 118532700. Its totient is φ = 13614720.

The previous prime is 42304967. The next prime is 42304979. The reversal of 42304968 is 86940324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37970244 + 4334724 = 6162^2 + 2082^2 .

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 (42304967) 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, 8043 + ... + 12218.

Almost surely, 242304968 is an apocalyptic number.

It is an amenable number.

42304968 is an abundant number, since it is smaller than the sum of its proper divisors (76227732).

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

42304968 is a wasteful number, since it uses less digits than its factorization.

42304968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20302 (or 20295 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42304968 is about 6504.2269333104. The cubic root of 42304968 is about 348.4419671905.

The spelling of 42304968 in words is "forty-two million, three hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 20261 40522 60783 81044 121566 162088 182349 243132 364698 486264 587569 729396 1175138 1458792 1762707 2350276 3525414 4700552 5288121 7050828 10576242 14101656 21152484 42304968