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42242634 = 23674139
BaseRepresentation
bin1010000100100…
…1001001001010
32221111011000000
42201021021022
541303231014
64105223430
71022025240
oct241111112
987434000
1042242634
1121932575
1212191b76
1389a0555
145878790
153a96509
hex284924a

42242634 has 56 divisors (see below), whose sum is σ = 108600480. Its totient is φ = 12066408.

The previous prime is 42242633. The next prime is 42242639. The reversal of 42242634 is 43624224.

42242634 is a `hidden beast` number, since 4 + 2 + 24 + 2 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42242598 and 42242607.

It is not an unprimeable number, because it can be changed into a prime (42242633) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8137 + ... + 12275.

Almost surely, 242242634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42242634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54300240).

42242634 is an abundant number, since it is smaller than the sum of its proper divisors (66357846).

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

42242634 is an equidigital number, since it uses as much as digits as its factorization.

42242634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4151 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42242634 is about 6499.4333599168. The cubic root of 42242634 is about 348.2707464965.

Adding to 42242634 its reverse (43624224), we get a palindrome (85866858).

The spelling of 42242634 in words is "forty-two million, two hundred forty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 4139 5103 8278 10206 12417 24834 28973 37251 57946 74502 86919 111753 173838 223506 260757 335259 521514 670518 782271 1005777 1564542 2011554 2346813 3017331 4693626 6034662 7040439 14080878 21121317 42242634