Search a number
-
+
2564338455 = 325726773041
BaseRepresentation
bin1001100011011000…
…1011001100010111
320121201020220001100
42120312023030113
520222432312310
61102242401143
7120355342260
oct23066131427
96551226040
102564338455
1110a6558488
125b69601b3
1331b368043
141a47db967
151001d8ec0
hex98d8b317

2564338455 has 48 divisors (see below), whose sum is σ = 5083401024. Its totient is φ = 1171445760.

The previous prime is 2564338451. The next prime is 2564338489. The reversal of 2564338455 is 5548334652.

2564338455 is a `hidden beast` number, since 2 + 564 + 3 + 3 + 84 + 5 + 5 = 666.

2564338455 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564338455 - 22 = 2564338451 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2564338455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564338451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841735 + ... + 844775.

It is an arithmetic number, because the mean of its divisors is an integer number (105904188).

Almost surely, 22564338455 is an apocalyptic number.

2564338455 is a deficient number, since it is larger than the sum of its proper divisors (2519062569).

2564338455 is a wasteful number, since it uses less digits than its factorization.

2564338455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5733 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2564338455 is about 50639.2975365970. The cubic root of 2564338455 is about 1368.7530976348.

The spelling of 2564338455 in words is "two billion, five hundred sixty-four million, three hundred thirty-eight thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 2677 3041 8031 9123 13385 15205 18739 21287 24093 27369 40155 45615 56217 63861 93695 106435 120465 136845 168651 191583 281085 319305 843255 957915 8140757 24422271 40703785 56985299 73266813 122111355 170955897 284926495 366334065 512867691 854779485 2564338455