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42161724 = 22321129679
BaseRepresentation
bin1010000011010…
…1011000111100
32221100001000100
42200311120330
541243133344
64103401100
71021240323
oct240653074
987301010
1042161724
1121887800
1212153190
138972787
1458570ba
153a7c569
hex283563c

42161724 has 54 divisors (see below), whose sum is σ = 117157040. Its totient is φ = 12774960.

The previous prime is 42161723. The next prime is 42161803. The reversal of 42161724 is 42716124.

42161724 is a `hidden beast` number, since 4 + 21 + 617 + 24 = 666.

It is a super-2 number, since 2×421617242 = 3555221941304352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 484 + ... + 9195.

Almost surely, 242161724 is an apocalyptic number.

42161724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42161724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58578520).

42161724 is an abundant number, since it is smaller than the sum of its proper divisors (74995316).

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

42161724 is a wasteful number, since it uses less digits than its factorization.

42161724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9711 (or 9695 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42161724 is about 6493.2059877999. The cubic root of 42161724 is about 348.0482493544.

Adding to 42161724 its reverse (42716124), we get a palindrome (84877848).

The spelling of 42161724 in words is "forty-two million, one hundred sixty-one thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 9679 19358 29037 38716 58074 87111 106469 116148 174222 212938 319407 348444 425876 638814 958221 1171159 1277628 1916442 2342318 3513477 3832884 4684636 7026954 10540431 14053908 21080862 42161724