Search a number
-
+
264610450 = 25213537681
BaseRepresentation
bin11111100010110…
…10001010010010
3200102220121022001
433301122022102
51020220013300
642131304214
76362103016
oct1761321222
9612817261
10264610450
11126402825
127474b06a
1342a89940
1427200546
151836d16a
hexfc5a292

264610450 has 48 divisors (see below), whose sum is σ = 540106056. Its totient is φ = 95846400.

The previous prime is 264610447. The next prime is 264610453. The reversal of 264610450 is 54016462.

264610450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264610447) and next prime (264610453).

It can be written as a sum of positive squares in 12 ways, for example, as 19280881 + 245329569 = 4391^2 + 15663^2 .

It is not an unprimeable number, because it can be changed into a prime (264610453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30610 + ... + 38290.

Almost surely, 2264610450 is an apocalyptic number.

264610450 is an abundant number, since it is smaller than the sum of its proper divisors (275495606).

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

264610450 is a wasteful number, since it uses less digits than its factorization.

264610450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 264610450 is about 16266.8512626138. The cubic root of 264610450 is about 642.0009397540. Note that the first 3 decimals are identical.

The spelling of 264610450 in words is "two hundred sixty-four million, six hundred ten thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 53 65 106 130 265 325 530 650 689 1325 1378 2650 3445 6890 7681 15362 17225 34450 38405 76810 99853 192025 199706 384050 407093 499265 814186 998530 2035465 2496325 4070930 4992650 5292209 10177325 10584418 20354650 26461045 52922090 132305225 264610450