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1455498801 = 3101572
BaseRepresentation
bin101011011000001…
…0010011000110001
310202102210000000000
41112300102120301
510440101430201
6400232220213
751032351511
oct12660223061
93672700000
101455498801
11687655879
1234753a669
131a27109c3
14db43b841
1587ba8d86
hex56c12631

1455498801 has 33 divisors (see below), whose sum is σ = 2197230411. Its totient is φ = 964152072.

The previous prime is 1455498799. The next prime is 1455498817. The reversal of 1455498801 is 1088945541.

It is a happy number.

The square root of 1455498801 is 38151.

It is a perfect power (a square), and thus also a powerful number.

1455498801 is a `hidden beast` number, since 1 + 4 + 554 + 98 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426629025 + 1028869776 = 20655^2 + 32076^2 .

It is not a de Polignac number, because 1455498801 - 21 = 1455498799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1455498881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 9270615 + ... + 9270771.

Almost surely, 21455498801 is an apocalyptic number.

1455498801 is the 38151-st square number.

1455498801 is the 19076-th centered octagonal number.

It is an amenable number.

1455498801 is a deficient number, since it is larger than the sum of its proper divisors (741731610).

1455498801 is an frugal number, since it uses more digits than its factorization.

1455498801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The cubic root of 1455498801 is about 1133.2801553960.

Multiplying 1455498801 by its product of nonzero digits (230400), we get a square (335346923750400 = 183124802).

The spelling of 1455498801 in words is "one billion, four hundred fifty-five million, four hundred ninety-eight thousand, eight hundred one".

Divisors: 1 3 9 27 81 157 243 471 729 1413 2187 4239 6561 12717 19683 24649 38151 59049 73947 114453 221841 343359 665523 1030077 1996569 3090231 5989707 9270693 17969121 53907363 161722089 485166267 1455498801