Search a number
-
+
1451580552 = 2332157128413
BaseRepresentation
bin101011010000101…
…0101110010001000
310202011101221011200
41112201111302020
510433101034202
6400012224200
750654142162
oct12641256210
93664357150
101451580552
11685419a54
1234616b060
131a196b406
14daadb932
1587682e1c
hex56855c88

1451580552 has 48 divisors (see below), whose sum is σ = 3956435340. Its totient is φ = 480774528.

The previous prime is 1451580517. The next prime is 1451580593. The reversal of 1451580552 is 2550851541.

1451580552 is a `hidden beast` number, since 1 + 4 + 51 + 58 + 0 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1451152836 + 427716 = 38094^2 + 654^2 .

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52903 + ... + 75510.

Almost surely, 21451580552 is an apocalyptic number.

1451580552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1451580552 is an abundant number, since it is smaller than the sum of its proper divisors (2504854788).

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

1451580552 is a wasteful number, since it uses less digits than its factorization.

1451580552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128582 (or 128575 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 1451580552 is about 38099.6135413471. The cubic root of 1451580552 is about 1132.2622994246.

The spelling of 1451580552 in words is "one billion, four hundred fifty-one million, five hundred eighty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 128413 256826 385239 513652 770478 1027304 1155717 1540956 2311434 3081912 4622868 9245736 20160841 40321682 60482523 80643364 120965046 161286728 181447569 241930092 362895138 483860184 725790276 1451580552