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264461401 = 17120112953
BaseRepresentation
bin11111100001101…
…01110001011001
3200102122000211201
433300311301121
51020200231101
642124154201
76360612331
oct1760656131
9612560751
10264461401
11126310846
1274698961
1342a36b49
14271a20c1
151833de01
hexfc35c59

264461401 has 8 divisors (see below), whose sum is σ = 280272744. Its totient is φ = 248678400.

The previous prime is 264461389. The next prime is 264461443. The reversal of 264461401 is 104164462.

It can be written as a sum of positive squares in 4 ways, for example, as 1243225 + 263218176 = 1115^2 + 16224^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 264461401 - 211 = 264459353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264461401.

It is not an unprimeable number, because it can be changed into a prime (264461501) 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, 13941 + ... + 26893.

It is an arithmetic number, because the mean of its divisors is an integer number (35034093).

Almost surely, 2264461401 is an apocalyptic number.

It is an amenable number.

264461401 is a deficient number, since it is larger than the sum of its proper divisors (15811343).

264461401 is a wasteful number, since it uses less digits than its factorization.

264461401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171.

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

The square root of 264461401 is about 16262.2692450961. The cubic root of 264461401 is about 641.8803756439.

The spelling of 264461401 in words is "two hundred sixty-four million, four hundred sixty-one thousand, four hundred one".

Divisors: 1 17 1201 12953 20417 220201 15556553 264461401