Search a number
-
+
1457310264 = 23388368767
BaseRepresentation
bin101011011011100…
…1100101000111000
310202120012000212020
41112313030220320
510441032412024
6400335114440
751053634654
oct12667145070
93676160766
101457310264
11688682853
12348072a20
131a2bc6387
14db78da64
1587e15979
hex56dcca38

1457310264 has 32 divisors (see below), whose sum is σ = 3647454720. Its totient is φ = 485212896.

The previous prime is 1457310259. The next prime is 1457310277. The reversal of 1457310264 is 4620137541.

1457310264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13192 + ... + 55575.

It is an arithmetic number, because the mean of its divisors is an integer number (113982960).

Almost surely, 21457310264 is an apocalyptic number.

It is an amenable number.

1457310264 is an abundant number, since it is smaller than the sum of its proper divisors (2190144456).

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

1457310264 is a wasteful number, since it uses less digits than its factorization.

1457310264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69659 (or 69655 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1457310264 is about 38174.7333193043. The cubic root of 1457310264 is about 1133.7501074618.

The spelling of 1457310264 in words is "one billion, four hundred fifty-seven million, three hundred ten thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 883 1766 2649 3532 5298 7064 10596 21192 68767 137534 206301 275068 412602 550136 825204 1650408 60721261 121442522 182163783 242885044 364327566 485770088 728655132 1457310264