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42275232 = 2532229641
BaseRepresentation
bin1010000101000…
…1000110100000
32221112210201100
42201101012200
541310301412
64110034400
71022222256
oct241210640
987483640
1042275232
112195500a
12121a8a00
1389b233c
1458865d6
153aa0edc
hex28511a0

42275232 has 72 divisors (see below), whose sum is σ = 120933540. Its totient is φ = 14008320.

The previous prime is 42275213. The next prime is 42275239. The reversal of 42275232 is 23257224.

42275232 is a `hidden beast` number, since 422 + 7 + 5 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32764176 + 9511056 = 5724^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 42275196 and 42275205.

It is not an unprimeable number, because it can be changed into a prime (42275239) 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, 65632 + ... + 66272.

Almost surely, 242275232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42275232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60466770).

42275232 is an abundant number, since it is smaller than the sum of its proper divisors (78658308).

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

42275232 is a wasteful number, since it uses less digits than its factorization.

42275232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 42275232 is about 6501.9406333802. The cubic root of 42275232 is about 348.3603085469.

The spelling of 42275232 in words is "forty-two million, two hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 641 687 916 1282 1374 1832 1923 2061 2564 2748 3664 3846 4122 5128 5496 5769 7328 7692 8244 10256 10992 11538 15384 16488 20512 21984 23076 30768 32976 46152 61536 65952 92304 146789 184608 293578 440367 587156 880734 1174312 1321101 1761468 2348624 2642202 3522936 4697248 5284404 7045872 10568808 14091744 21137616 42275232