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242599552 = 2713314703
BaseRepresentation
bin11100111010111…
…00011010000000
3121220111100000121
432131130122000
5444101141202
640023430024
76004030216
oct1635343200
9556440017
10242599552
11114a396a8
12692b5314
133b351140
1424310cb6
1516471537
hexe75c680

242599552 has 64 divisors (see below), whose sum is σ = 537384960. Its totient is φ = 108334080.

The previous prime is 242599547. The next prime is 242599597. The reversal of 242599552 is 255995242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 242599499 and 242599508.

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 7 ways as a sum of consecutive naturals, for example, 49233 + ... + 53935.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2242599552 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 242599552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268692480).

242599552 is an abundant number, since it is smaller than the sum of its proper divisors (294785408).

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

242599552 is a wasteful number, since it uses less digits than its factorization.

242599552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4749 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The square root of 242599552 is about 15575.6075964952. The cubic root of 242599552 is about 623.6821743298.

The spelling of 242599552 in words is "two hundred forty-two million, five hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 4703 6448 9406 12896 18812 25792 37624 51584 61139 75248 122278 145793 150496 244556 291586 300992 489112 583172 601984 978224 1166344 1895309 1956448 2332688 3790618 3912896 4665376 7581236 7825792 9330752 15162472 18661504 30324944 60649888 121299776 242599552