Search a number
-
+
530053776 = 243272431747
BaseRepresentation
bin11111100101111…
…111101010010000
31100221101112002100
4133211333222100
52041143210101
6124332520400
716064245200
oct3745775220
91327345070
10530053776
1125222427a
12129620100
1385a786b5
145057a400
1531802e86
hex1f97fa90

530053776 has 180 divisors, whose sum is σ = 1766745552. Its totient is φ = 147837312.

The previous prime is 530053763. The next prime is 530053787. The reversal of 530053776 is 677350035.

530053776 is a `hidden beast` number, since 53 + 0 + 0 + 537 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 530053776.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302535 + ... + 304281.

Almost surely, 2530053776 is an apocalyptic number.

530053776 is a gapful number since it is divisible by the number (56) 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 530053776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883372776).

530053776 is an abundant number, since it is smaller than the sum of its proper divisors (1236691776).

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

530053776 is a wasteful number, since it uses less digits than its factorization.

530053776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 530053776 is about 23022.8967769045. The cubic root of 530053776 is about 809.2946030686.

The spelling of 530053776 in words is "five hundred thirty million, fifty-three thousand, seven hundred seventy-six".