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242687088 = 24327713391
BaseRepresentation
bin11100111011100…
…01110001110000
3121220122210002200
432131301301300
5444111441323
640025343200
76004543350
oct1635616160
9556583080
10242687088
11114a99446
1269337b00
133b381c37
1424334b60
151648c443
hexe771c70

242687088 has 120 divisors (see below), whose sum is σ = 787378176. Its totient is φ = 68342400.

The previous prime is 242687059. The next prime is 242687089. The reversal of 242687088 is 880786242.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242687089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69873 + ... + 73263.

Almost surely, 2242687088 is an apocalyptic number.

242687088 is a gapful number since it is divisible by the number (28) 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 242687088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393689088).

242687088 is an abundant number, since it is smaller than the sum of its proper divisors (544691088).

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

242687088 is a wasteful number, since it uses less digits than its factorization.

242687088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 242687088 is about 15578.4173778982. The cubic root of 242687088 is about 623.7571786971.

The spelling of 242687088 in words is "two hundred forty-two million, six hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3391 3408 3976 4473 5112 5964 6782 7952 8946 10173 10224 11928 13564 17892 20346 23737 23856 27128 30519 35784 40692 47474 54256 61038 71211 71568 81384 94948 122076 142422 162768 189896 213633 240761 244152 284844 379792 427266 481522 488304 569688 722283 854532 963044 1139376 1444566 1685327 1709064 1926088 2166849 2889132 3370654 3418128 3852176 4333698 5055981 5778264 6741308 8667396 10111962 11556528 13482616 15167943 17334792 20223924 26965232 30335886 34669584 40447848 60671772 80895696 121343544 242687088