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42315216 = 2432338329
BaseRepresentation
bin1010000101101…
…0110111010000
32221121211120020
42201122313100
541313041331
64110543440
71022446656
oct241326720
987554506
1042315216
1121982059
1212207b80
1389c75b8
145896dd6
153aacc96
hex285add0

42315216 has 40 divisors (see below), whose sum is σ = 114070080. Its totient is φ = 13491456.

The previous prime is 42315211. The next prime is 42315241. The reversal of 42315216 is 61251324.

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 (42315211) 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, 18061 + ... + 20268.

It is an arithmetic number, because the mean of its divisors is an integer number (2851752).

Almost surely, 242315216 is an apocalyptic number.

42315216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42315216 is an abundant number, since it is smaller than the sum of its proper divisors (71754864).

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

42315216 is a wasteful number, since it uses less digits than its factorization.

42315216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38363 (or 38357 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42315216 is about 6505.0146809980. The cubic root of 42315216 is about 348.4701005687.

The spelling of 42315216 in words is "forty-two million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 38329 76658 114987 153316 229974 306632 459948 613264 881567 919896 1763134 1839792 2644701 3526268 5289402 7052536 10578804 14105072 21157608 42315216