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42407568 = 2432742071
BaseRepresentation
bin1010000111000…
…1011010010000
32221210112020200
42201301122100
541324020233
64112535200
71023313140
oct241613220
987715220
1042407568
1121a35485
1212251500
138a2a648
1458bc920
153aca313
hex2871690

42407568 has 60 divisors (see below), whose sum is σ = 135640128. Its totient is φ = 12116160.

The previous prime is 42407557. The next prime is 42407569. The reversal of 42407568 is 86570424.

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 (42407569) 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, 20028 + ... + 22043.

Almost surely, 242407568 is an apocalyptic number.

42407568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42407568 is an abundant number, since it is smaller than the sum of its proper divisors (93232560).

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

42407568 is a wasteful number, since it uses less digits than its factorization.

42407568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42092 (or 42083 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42407568 is about 6512.1093356915. The cubic root of 42407568 is about 348.7234257317.

The spelling of 42407568 in words is "forty-two million, four hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 42071 84142 126213 168284 252426 294497 336568 378639 504852 588994 673136 757278 883491 1009704 1177988 1514556 1766982 2019408 2355976 2650473 3029112 3533964 4711952 5300946 6058224 7067928 10601892 14135856 21203784 42407568