Search a number
-
+
245403564 = 223723113463
BaseRepresentation
bin11101010000010…
…00111110101100
3122002202210101220
432220020332230
51000310403224
640203503340
76036616200
oct1650107654
9562683356
10245403564
1111658436a
126a227b50
133bac3513
1424840b00
1516827279
hexea08fac

245403564 has 72 divisors (see below), whose sum is σ = 687633408. Its totient is φ = 67848480.

The previous prime is 245403547. The next prime is 245403607. The reversal of 245403564 is 465304542.

245403564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11497 + ... + 24959.

It is an arithmetic number, because the mean of its divisors is an integer number (9550464).

Almost surely, 2245403564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245403564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343816704).

245403564 is an abundant number, since it is smaller than the sum of its proper divisors (442229844).

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

245403564 is a wasteful number, since it uses less digits than its factorization.

245403564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 245403564 is about 15665.3619173002. The cubic root of 245403564 is about 626.0758549419.

The spelling of 245403564 in words is "two hundred forty-five million, four hundred three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 4557 6076 9114 13463 18228 26926 40389 53852 80778 94241 161556 188482 282723 376964 417353 565446 659687 834706 1130892 1252059 1319374 1669412 1979061 2504118 2638748 2921471 3958122 5008236 5842942 7916244 8764413 11685884 17528826 20450297 35057652 40900594 61350891 81801188 122701782 245403564