Search a number
-
+
242097624 = 233218011867
BaseRepresentation
bin11100110111000…
…01110111011000
3121212112211111200
432123201313120
5443434110444
640004554200
75666536656
oct1633416730
9555484450
10242097624
1111472658a
12690b2960
133b206842
142421ddd6
15163c2969
hexe6e1dd8

242097624 has 48 divisors (see below), whose sum is σ = 656396520. Its totient is φ = 80611200.

The previous prime is 242097619. The next prime is 242097643. The reversal of 242097624 is 426790242.

242097624 is a `hidden beast` number, since 2 + 4 + 20 + 9 + 7 + 624 = 666.

It is a super-2 number, since 2×2420976242 = 117222519092890752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128739 + ... + 130605.

Almost surely, 2242097624 is an apocalyptic number.

242097624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242097624 is an abundant number, since it is smaller than the sum of its proper divisors (414298896).

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

242097624 is a wasteful number, since it uses less digits than its factorization.

242097624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 242097624 is about 15559.4866239218. The cubic root of 242097624 is about 623.2517535211.

The spelling of 242097624 in words is "two hundred forty-two million, ninety-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1801 1867 3602 3734 5403 5601 7204 7468 10806 11202 14408 14936 16209 16803 21612 22404 32418 33606 43224 44808 64836 67212 129672 134424 3362467 6724934 10087401 13449868 20174802 26899736 30262203 40349604 60524406 80699208 121048812 242097624