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1452051540 = 2232519740949
BaseRepresentation
bin101011010001100…
…1000110001010100
310202012021212020200
41112203020301110
510433211122130
6400030300500
750661143262
oct12643106124
93665255220
101452051540
116857108a5
12346357730
131a1aa48c4
14dabc1432
1587727760
hex568c8c54

1452051540 has 72 divisors (see below), whose sum is σ = 4427022600. Its totient is φ = 385238784.

The previous prime is 1452051539. The next prime is 1452051607. The reversal of 1452051540 is 451502541.

1452051540 is a `hidden beast` number, since 145 + 2 + 0 + 515 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 488321604 + 963729936 = 22098^2 + 31044^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14986 + ... + 55934.

It is an arithmetic number, because the mean of its divisors is an integer number (61486425).

Almost surely, 21452051540 is an apocalyptic number.

1452051540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452051540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213511300).

1452051540 is an abundant number, since it is smaller than the sum of its proper divisors (2974971060).

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

1452051540 is a wasteful number, since it uses less digits than its factorization.

1452051540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41161 (or 41156 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1452051540 is about 38105.7940476248. The cubic root of 1452051540 is about 1132.3847462496.

The spelling of 1452051540 in words is "one billion, four hundred fifty-two million, fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 40949 81898 122847 163796 204745 245694 368541 409490 491388 614235 737082 818980 1228470 1474164 1842705 2456940 3685410 7370820 8066953 16133906 24200859 32267812 40334765 48401718 72602577 80669530 96803436 121004295 145205154 161339060 242008590 290410308 363012885 484017180 726025770 1452051540