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1455225993 = 34131781293
BaseRepresentation
bin101011010111100…
…1111110010001001
310202102021010210000
41112233033302021
510440014212433
6400222313213
751030134244
oct12657176211
93672233700
101455225993
11687489911
12347428809
131a2646790
14db3aa25b
1587b53113
hex56bcfc89

1455225993 has 40 divisors (see below), whose sum is σ = 2478816648. Its totient is φ = 842835456.

The previous prime is 1455225991. The next prime is 1455226009. The reversal of 1455225993 is 3995225541.

1455225993 is a `hidden beast` number, since 1 + 4 + 5 + 52 + 2 + 599 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34539129 + 1420686864 = 5877^2 + 37692^2 .

It is not a de Polignac number, because 1455225993 - 21 = 1455225991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1455225991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22746 + ... + 58547.

Almost surely, 21455225993 is an apocalyptic number.

1455225993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1455225993 is a deficient number, since it is larger than the sum of its proper divisors (1023590655).

1455225993 is a wasteful number, since it uses less digits than its factorization.

1455225993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81335 (or 81326 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 1455225993 is about 38147.4244608991. The cubic root of 1455225993 is about 1133.2093464036.

The spelling of 1455225993 in words is "one billion, four hundred fifty-five million, two hundred twenty-five thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 81293 243879 731637 1056809 1381981 2194911 3170427 4145943 6584733 9511281 12437829 17965753 28533843 37313487 53897259 85601529 111940461 161691777 485075331 1455225993