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242548680 = 233511192509
BaseRepresentation
bin11100111010011…
…11111111001000
3121220101202020110
432131033333020
5444043024210
640022354320
76003426003
oct1635177710
9556352213
10242548680
11114a04460
126928b9a0
133b333c3a
14242da53a
1516461420
hexe74ffc8

242548680 has 192 divisors, whose sum is σ = 839419200. Its totient is φ = 55595520.

The previous prime is 242548651. The next prime is 242548687. The reversal of 242548680 is 86845242.

242548680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242548687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476266 + ... + 476774.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975).

Almost surely, 2242548680 is an apocalyptic number.

242548680 is a gapful number since it is divisible by the number (20) 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 242548680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419709600).

242548680 is an abundant number, since it is smaller than the sum of its proper divisors (596870520).

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

242548680 is a wasteful number, since it uses less digits than its factorization.

242548680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 242548680 is about 15573.9744445662. The cubic root of 242548680 is about 623.6385768632.

The spelling of 242548680 in words is "two hundred forty-two million, five hundred forty-eight thousand, six hundred eighty".