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42147312 = 2436771297
BaseRepresentation
bin1010000011000…
…1110111110000
32221022022020120
42200301313300
541242203222
64103210240
71021150314
oct240616760
987268216
1042147312
1121877999
1212146980
13896904c
145851b44
153a7815c
hex2831df0

42147312 has 40 divisors (see below), whose sum is σ = 109125456. Its totient is φ = 14017536.

The previous prime is 42147311. The next prime is 42147319. The reversal of 42147312 is 21374124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42147311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31848 + ... + 33144.

Almost surely, 242147312 is an apocalyptic number.

It is an amenable number.

42147312 is an abundant number, since it is smaller than the sum of its proper divisors (66978144).

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

42147312 is a wasteful number, since it uses less digits than its factorization.

42147312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1979 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 42147312 is about 6492.0961175879. The cubic root of 42147312 is about 348.0085874483.

The spelling of 42147312 in words is "forty-two million, one hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 677 1297 1354 2031 2594 2708 3891 4062 5188 5416 7782 8124 10376 10832 15564 16248 20752 31128 32496 62256 878069 1756138 2634207 3512276 5268414 7024552 10536828 14049104 21073656 42147312