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1464000450 = 2352115316741
BaseRepresentation
bin101011101000010…
…1101111111000010
310210000202221001220
41113100231333002
510444241003300
6401134335510
751164540613
oct12720557702
93700687056
101464000450
11691432230
1234a35a596
131a43c9573
14dc611c0a
15887d7da0
hex5742dfc2

1464000450 has 96 divisors (see below), whose sum is σ = 4035759552. Its totient is φ = 348192000.

The previous prime is 1464000449. The next prime is 1464000469. The reversal of 1464000450 is 540004641.

It is a self number, because there is not a number n which added to its sum of digits gives 1464000450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79080 + ... + 95820.

It is an arithmetic number, because the mean of its divisors is an integer number (42039162).

Almost surely, 21464000450 is an apocalyptic number.

1464000450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017879776).

1464000450 is an abundant number, since it is smaller than the sum of its proper divisors (2571759102).

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

1464000450 is a wasteful number, since it uses less digits than its factorization.

1464000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820 (or 16815 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1464000450 is about 38262.2588198867. The cubic root of 1464000450 is about 1135.4823905095.

The spelling of 1464000450 in words is "one billion, four hundred sixty-four million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 53 55 66 75 106 110 150 159 165 265 275 318 330 530 550 583 795 825 1166 1325 1590 1650 1749 2650 2915 3498 3975 5830 7950 8745 14575 16741 17490 29150 33482 43725 50223 83705 87450 100446 167410 184151 251115 368302 418525 502230 552453 837050 887273 920755 1104906 1255575 1774546 1841510 2511150 2661819 2762265 4436365 4603775 5323638 5524530 8872730 9207550 9760003 13309095 13811325 19520006 22181825 26618190 27622650 29280009 44363650 48800015 58560018 66545475 97600030 133090950 146400045 244000075 292800090 488000150 732000225 1464000450