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242505376 = 25231671973
BaseRepresentation
bin11100111010001…
…01011010100000
3121220022112211121
432131011122200
5444040133001
640021422024
76003155521
oct1635053240
9556275747
10242505376
11114984973
126926a914
133b31a309
14242c8848
15164536a1
hexe7456a0

242505376 has 48 divisors (see below), whose sum is σ = 501427584. Its totient is φ = 115227904.

The previous prime is 242505371. The next prime is 242505401. The reversal of 242505376 is 673505242.

It is not an unprimeable number, because it can be changed into a prime (242505371) by changing a digit.

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, 121926 + ... + 123898.

It is an arithmetic number, because the mean of its divisors is an integer number (10446408).

Almost surely, 2242505376 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 242505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250713792).

242505376 is an abundant number, since it is smaller than the sum of its proper divisors (258922208).

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

242505376 is a wasteful number, since it uses less digits than its factorization.

242505376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 242505376 is about 15572.5841143980. The cubic root of 242505376 is about 623.6014603934.

The spelling of 242505376 in words is "two hundred forty-two million, five hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 92 167 184 334 368 668 736 1336 1973 2672 3841 3946 5344 7682 7892 15364 15784 30728 31568 45379 61456 63136 90758 122912 181516 329491 363032 658982 726064 1317964 1452128 2635928 5271856 7578293 10543712 15156586 30313172 60626344 121252688 242505376