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242072415 = 33513137933
BaseRepresentation
bin11100110110110…
…11101101011111
3121212111112221000
432123123231133
5443432304130
640004241343
75666403324
oct1633335537
9555445830
10242072415
11114709652
12690a0253
133b1c8220
1424214b4b
15163ba260
hexe6dbb5f

242072415 has 32 divisors (see below), whose sum is σ = 463458240. Its totient is φ = 119173248.

The previous prime is 242072399. The next prime is 242072417. The reversal of 242072415 is 514270242.

242072415 is a `hidden beast` number, since 242 + 0 + 7 + 2 + 415 = 666.

It is not a de Polignac number, because 242072415 - 24 = 242072399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242072417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67212 + ... + 70721.

It is an arithmetic number, because the mean of its divisors is an integer number (14483070).

Almost surely, 2242072415 is an apocalyptic number.

242072415 is a deficient number, since it is larger than the sum of its proper divisors (221385825).

242072415 is a wasteful number, since it uses less digits than its factorization.

242072415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137960 (or 137954 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242072415 is about 15558.6765182647. The cubic root of 242072415 is about 623.2301202386.

The spelling of 242072415 in words is "two hundred forty-two million, seventy-two thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 137933 413799 689665 1241397 1793129 2068995 3724191 5379387 6206985 8965645 16138161 18620955 26896935 48414483 80690805 242072415