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264813493 = 74532081
BaseRepresentation
bin11111100100010…
…11101110110101
3200110021220211011
433302023232311
51020243012433
642135512221
76363610000
oct1762135665
9613256734
10264813493
1112653132a
1274828671
1342b2b199
1427254537
15183ad3cd
hexfc8bbb5

264813493 has 20 divisors (see below), whose sum is σ = 314910828. Its totient is φ = 222593280.

The previous prime is 264813481. The next prime is 264813499. The reversal of 264813493 is 394318462.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 146482609 + 118330884 = 12103^2 + 10878^2 .

It is not a de Polignac number, because 264813493 - 213 = 264805301 is a prime.

It is a super-2 number, since 2×2648134932 = 140252372149722098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264813499) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126213 + ... + 128293.

Almost surely, 2264813493 is an apocalyptic number.

It is an amenable number.

264813493 is a deficient number, since it is larger than the sum of its proper divisors (50097335).

264813493 is an frugal number, since it uses more digits than its factorization.

264813493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2141 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 264813493 is about 16273.0910708445. The cubic root of 264813493 is about 642.1651061977.

The spelling of 264813493 in words is "two hundred sixty-four million, eight hundred thirteen thousand, four hundred ninety-three".

Divisors: 1 7 49 53 343 371 2081 2401 2597 14567 18179 101969 110293 127253 713783 772051 4996481 5404357 37830499 264813493