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241414992 = 24347132389
BaseRepresentation
bin11100110001110…
…11001101010000
3121211021011010000
432120323031100
5443300234432
635542210000
75660664540
oct1630731520
9554234100
10241414992
111142aa725
1268a23900
133b027c10
14240c3320
15162da57c
hexe63b350

241414992 has 400 divisors, whose sum is σ = 907441920. Its totient is φ = 60217344.

The previous prime is 241414967. The next prime is 241415021. The reversal of 241414992 is 299414142.

241414992 is a `hidden beast` number, since 24 + 141 + 499 + 2 = 666.

241414992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712484 + ... + 2712572.

Almost surely, 2241414992 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 241414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

241414992 is an abundant number, since it is smaller than the sum of its proper divisors (666026928).

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

241414992 is a wasteful number, since it uses less digits than its factorization.

241414992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 241414992 is about 15537.5349396228. The cubic root of 241414992 is about 622.6654169195.

The spelling of 241414992 in words is "two hundred forty-one million, four hundred fourteen thousand, nine hundred ninety-two".