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42142352 = 24741097
BaseRepresentation
bin1010000011000…
…0101010010000
32221022001102212
42200300222100
541242023402
64103131252
71021130000
oct240605220
987261385
1042142352
112187419a
1212143b28
138966a05
145850000
153a76952
hex2830a90

42142352 has 50 divisors (see below), whose sum is σ = 95340438. Its totient is φ = 18044544.

The previous prime is 42142339. The next prime is 42142357. The reversal of 42142352 is 25324124.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32307856 + 9834496 = 5684^2 + 3136^2 .

It is not an unprimeable number, because it can be changed into a prime (42142357) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37868 + ... + 38964.

Almost surely, 242142352 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 42142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47670219).

42142352 is an abundant number, since it is smaller than the sum of its proper divisors (53198086).

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

42142352 is an equidigital number, since it uses as much as digits as its factorization.

42142352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1106 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 42142352 is about 6491.7141033782. The cubic root of 42142352 is about 347.9949354087.

Adding to 42142352 its reverse (25324124), we get a palindrome (67466476).

The spelling of 42142352 in words is "forty-two million, one hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1097 1372 2194 2401 2744 4388 4802 5488 7679 8776 9604 15358 17552 19208 30716 38416 53753 61432 107506 122864 215012 376271 430024 752542 860048 1505084 2633897 3010168 5267794 6020336 10535588 21071176 42142352