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242526536 = 237232943151
BaseRepresentation
bin11100111010010…
…10100101001000
3121220100121212022
432131022211020
5444041322121
640022104012
76003304310
oct1635124510
9556317768
10242526536
1111499985a
126927b008
133b326b35
14242d2440
1516459aab
hexe74a948

242526536 has 128 divisors (see below), whose sum is σ = 577843200. Its totient is φ = 93139200.

The previous prime is 242526517. The next prime is 242526541. The reversal of 242526536 is 635625242.

It is a junction number, because it is equal to n+sod(n) for n = 242526496 and 242526505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606061 + ... + 1606211.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2242526536 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 242526536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288921600).

242526536 is an abundant number, since it is smaller than the sum of its proper divisors (335316664).

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

242526536 is a wasteful number, since it uses less digits than its factorization.

242526536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 242526536 is about 15573.2634987019. The cubic root of 242526536 is about 623.6195974801.

The spelling of 242526536 in words is "two hundred forty-two million, five hundred twenty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 23 28 29 43 46 56 58 86 92 116 151 161 172 184 203 232 301 302 322 344 406 602 604 644 667 812 989 1057 1204 1208 1247 1288 1334 1624 1978 2114 2408 2494 2668 3473 3956 4228 4379 4669 4988 5336 6493 6923 6946 7912 8456 8729 8758 9338 9976 12986 13846 13892 17458 17516 18676 24311 25972 27692 27784 28681 30653 34916 35032 37352 45451 48622 51944 55384 57362 61306 69832 90902 97244 100717 114724 122612 149339 181804 188297 194488 200767 201434 229448 245224 298678 363608 376594 401534 402868 597356 705019 753188 803068 805736 1045373 1194712 1318079 1410038 1506376 1606136 2090746 2636158 2820076 4181492 4330831 5272316 5640152 8362984 8661662 10544632 17323324 30315817 34646648 60631634 121263268 242526536