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242573292 = 223101379
BaseRepresentation
bin11100111010101…
…01111111101100
3121220110000000000
432131111333230
5444044321132
640023104300
76003560523
oct1635257754
9556400000
10242573292
11114a209a5
12692a2090
133b3421c0
14243054ba
151646887c
hexe755fec

242573292 has 132 divisors (see below), whose sum is σ = 694412320. Its totient is φ = 73693152.

The previous prime is 242573291. The next prime is 242573293. The reversal of 242573292 is 292375242.

It is an interprime number because it is at equal distance from previous prime (242573291) and next prime (242573293).

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

Its product of digits (60480) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (242573291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3070509 + ... + 3070587.

Almost surely, 2242573292 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 242573292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347206160).

242573292 is an abundant number, since it is smaller than the sum of its proper divisors (451839028).

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

242573292 is an equidigital number, since it uses as much as digits as its factorization.

242573292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 242573292 is about 15574.7645889111. The cubic root of 242573292 is about 623.6596701870.

The spelling of 242573292 in words is "two hundred forty-two million, five hundred seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 81 108 117 156 158 162 234 237 243 316 324 351 468 474 486 702 711 729 948 972 1027 1053 1404 1422 1458 2054 2106 2133 2187 2844 2916 3081 3159 4108 4212 4266 4374 6162 6318 6399 6561 8532 8748 9243 9477 12324 12636 12798 13122 18486 18954 19197 19683 25596 26244 27729 28431 36972 37908 38394 39366 55458 56862 57591 59049 76788 78732 83187 85293 110916 113724 115182 118098 166374 170586 172773 230364 236196 249561 255879 332748 341172 345546 499122 511758 518319 691092 748683 767637 998244 1023516 1036638 1497366 1535274 1554957 2073276 2246049 2994732 3070548 3109914 4492098 4664871 6219828 6738147 8984196 9329742 13476294 18659484 20214441 26952588 40428882 60643323 80857764 121286646 242573292