Search a number
-
+
1449400464 = 243271913999
BaseRepresentation
bin101011001100100…
…0001100010010000
310202000022011122200
41112121001202100
510432021303324
6355453403200
750626462221
oct12631014220
93660264580
101449400464
11684170026
12345499500
131a1387015
14da6d1248
15873a1ec9
hex56641890

1449400464 has 60 divisors (see below), whose sum is σ = 4062240000. Its totient is φ = 482427072.

The previous prime is 1449400457. The next prime is 1449400543. The reversal of 1449400464 is 4640049441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96537 + ... + 110535.

It is an arithmetic number, because the mean of its divisors is an integer number (67704000).

Almost surely, 21449400464 is an apocalyptic number.

It is an amenable number.

1449400464 is an abundant number, since it is smaller than the sum of its proper divisors (2612839536).

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

1449400464 is a wasteful number, since it uses less digits than its factorization.

1449400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14732 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1449400464 is about 38070.9924220528. The cubic root of 1449400464 is about 1131.6951777823.

The spelling of 1449400464 in words is "one billion, four hundred forty-nine million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 13999 17256 25884 27998 34512 41997 51768 55996 83994 103536 111992 125991 167988 223984 251982 335976 503964 671952 1007928 2015856 10065281 20130562 30195843 40261124 60391686 80522248 90587529 120783372 161044496 181175058 241566744 362350116 483133488 724700232 1449400464