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242519508 = 22347119721
BaseRepresentation
bin11100111010010…
…00110111010100
3121220100021020000
432131020313110
5444041111013
640022011300
76003244650
oct1635106724
9556307200
10242519508
11114994550
1269276b30
133b32388a
14242cda60
1516457973
hexe748dd4

242519508 has 120 divisors (see below), whose sum is σ = 790515264. Its totient is φ = 62985600.

The previous prime is 242519491. The next prime is 242519513. The reversal of 242519508 is 805915242.

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 39 ways as a sum of consecutive naturals, for example, 20088 + ... + 29808.

Almost surely, 2242519508 is an apocalyptic number.

242519508 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 242519508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395257632).

242519508 is an abundant number, since it is smaller than the sum of its proper divisors (547995756).

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

242519508 is a wasteful number, since it uses less digits than its factorization.

242519508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 242519508 is about 15573.0378539320. The cubic root of 242519508 is about 623.6135736158.

The spelling of 242519508 in words is "two hundred forty-two million, five hundred nineteen thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 9721 12474 19442 24948 29163 38884 58326 68047 87489 106931 116652 136094 174978 204141 213862 262467 272188 320793 349956 408282 427724 524934 612423 641586 748517 787401 816564 962379 1049868 1224846 1283172 1497034 1574802 1837269 1924758 2245551 2449692 2887137 2994068 3149604 3674538 3849516 4491102 5511807 5774274 6736653 7349076 8661411 8982204 11023614 11548548 13473306 17322822 20209959 22047228 26946612 34645644 40419918 60629877 80839836 121259754 242519508