Search a number
-
+
872741376 = 29321317857
BaseRepresentation
bin110100000001001…
…111101000000000
32020211012212002200
4310001033220000
53241410211001
6222333513200
730425115333
oct6401175000
92224185080
10872741376
11408704571
12204342800
1310ba71420
1483ca261a
1551945086
hex3404fa00

872741376 has 240 divisors, whose sum is σ = 2875456584. Its totient is φ = 252444672.

The previous prime is 872741347. The next prime is 872741381. The reversal of 872741376 is 673147278.

872741376 is a `hidden beast` number, since 8 + 7 + 274 + 1 + 376 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 843321600 + 29419776 = 29040^2 + 5424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017940 + ... + 1018796.

Almost surely, 2872741376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437728292).

872741376 is an abundant number, since it is smaller than the sum of its proper divisors (2002715208).

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

872741376 is a wasteful number, since it uses less digits than its factorization.

872741376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 872741376 is about 29542.1965330948. The cubic root of 872741376 is about 955.6419123044.

The spelling of 872741376 in words is "eight hundred seventy-two million, seven hundred forty-one thousand, three hundred seventy-six".