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242045496 = 233673112
BaseRepresentation
bin11100110110101…
…01001000111000
3121212110012000000
432123111020320
5443430423441
640003513000
75666232000
oct1633251070
9555405000
10242045496
111146a0400
1269088760
133b1b8bb4
1424209000
15163b22b6
hexe6d5238

242045496 has 336 divisors, whose sum is σ = 872214000. Its totient is φ = 62868960.

The previous prime is 242045483. The next prime is 242045501. The reversal of 242045496 is 694540242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

242045496 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 self number, because there is not a number n which added to its sum of digits gives 242045496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22004131 + ... + 22004141.

It is an arithmetic number, because the mean of its divisors is an integer number (2595875).

Almost surely, 2242045496 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 242045496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436107000).

242045496 is an abundant number, since it is smaller than the sum of its proper divisors (630168504).

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

242045496 is an equidigital number, since it uses as much as digits as its factorization.

242045496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 242045496 is about 15557.8114142060. The cubic root of 242045496 is about 623.2070178493.

The spelling of 242045496 in words is "two hundred forty-two million, forty-five thousand, four hundred ninety-six".