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242603166 = 2313712617
BaseRepresentation
bin11100111010111…
…01010010011110
3121220111111222110
432131131102132
5444101300131
640023454450
76004043601
oct1635352236
9556444873
10242603166
11114a41393
12692b7426
133b352990
1424312338
1516472646
hexe75d49e

242603166 has 48 divisors (see below), whose sum is σ = 530852112. Its totient is φ = 73476480.

The previous prime is 242603159. The next prime is 242603171. The reversal of 242603166 is 661306242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392890 + ... + 393506.

It is an arithmetic number, because the mean of its divisors is an integer number (11059419).

Almost surely, 2242603166 is an apocalyptic number.

242603166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242603166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265426056).

242603166 is an abundant number, since it is smaller than the sum of its proper divisors (288248946).

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

242603166 is a wasteful number, since it uses less digits than its factorization.

242603166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 242603166 is about 15575.7236107990. The cubic root of 242603166 is about 623.6852713074.

The spelling of 242603166 in words is "two hundred forty-two million, six hundred three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 617 923 1234 1846 1851 2769 3702 5041 5538 8021 10082 15123 16042 24063 30246 43807 48126 65533 87614 131066 131421 196599 262842 393198 569491 1138982 1708473 3110297 3416946 6220594 9330891 18661782 40433861 80867722 121301583 242603166