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242624161 = 1333755381
BaseRepresentation
bin11100111011000…
…10011010100001
3121220112120210001
432131202122201
5444102433121
640024140001
76004162033
oct1635423241
9556476701
10242624161
11114a5613a
1269307601
133b35c3c0
1424319c53
1516478991
hexe7626a1

242624161 has 8 divisors (see below), whose sum is σ = 262067624. Its totient is φ = 223292160.

The previous prime is 242624149. The next prime is 242624201. The reversal of 242624161 is 161426242.

242624161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30747025 + 211877136 = 5545^2 + 14556^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 242624161 - 29 = 242623649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242624131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23310 + ... + 32071.

It is an arithmetic number, because the mean of its divisors is an integer number (32758453).

Almost surely, 2242624161 is an apocalyptic number.

It is an amenable number.

242624161 is a deficient number, since it is larger than the sum of its proper divisors (19443463).

242624161 is a wasteful number, since it uses less digits than its factorization.

242624161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55731.

The product of its digits is 4608, while the sum is 28.

The square root of 242624161 is about 15576.3975616957. The cubic root of 242624161 is about 623.7032621341.

It can be divided in two parts, 242 and 624161, that added together give a triangular number (624403 = T1117).

The spelling of 242624161 in words is "two hundred forty-two million, six hundred twenty-four thousand, one hundred sixty-one".

Divisors: 1 13 337 4381 55381 719953 18663397 242624161