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242894520 = 233251183739
BaseRepresentation
bin11100111101001…
…00011010111000
3121221001022122100
432132210122320
5444140111040
640034023400
76006366201
oct1636443270
9557038570
10242894520
11115120280
1269417b60
133b42548b
142438a5a8
15164cdb30
hexe7a46b8

242894520 has 192 divisors, whose sum is σ = 872726400. Its totient is φ = 58095360.

The previous prime is 242894503. The next prime is 242894539. The reversal of 242894520 is 25498242.

242894520 is a `hidden beast` number, since 2 + 42 + 8 + 94 + 520 = 666.

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 47 ways as a sum of consecutive naturals, for example, 328311 + ... + 329049.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2242894520 is an apocalyptic number.

242894520 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 242894520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436363200).

242894520 is an abundant number, since it is smaller than the sum of its proper divisors (629831880).

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

242894520 is a wasteful number, since it uses less digits than its factorization.

242894520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 242894520 is about 15585.0736283150. The cubic root of 242894520 is about 623.9348428021.

The spelling of 242894520 in words is "two hundred forty-two million, eight hundred ninety-four thousand, five hundred twenty".