Search a number
-
+
1152863256 = 233411517759
BaseRepresentation
bin100010010110111…
…0100110000011000
32222100022112002010
41010231310300120
54330113111011
6310221505520
740366114236
oct10455646030
92870275063
101152863256
11541841256
122821122a0
13154acc40c
14ad17d956
156b3291a6
hex44b74c18

1152863256 has 64 divisors (see below), whose sum is σ = 2972390400. Its totient is φ = 372384000.

The previous prime is 1152863233. The next prime is 1152863269. The reversal of 1152863256 is 6523682511.

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 15 ways as a sum of consecutive naturals, for example, 144705 + ... + 152463.

It is an arithmetic number, because the mean of its divisors is an integer number (46443600).

Almost surely, 21152863256 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 1152863256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486195200).

1152863256 is an abundant number, since it is smaller than the sum of its proper divisors (1819527144).

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

1152863256 is a wasteful number, since it uses less digits than its factorization.

1152863256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7956 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 1152863256 is about 33953.8400773756. The cubic root of 1152863256 is about 1048.5583407695.

The spelling of 1152863256 in words is "one billion, one hundred fifty-two million, eight hundred sixty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 151 164 246 302 328 453 492 604 906 984 1208 1812 3624 6191 7759 12382 15518 18573 23277 24764 31036 37146 46554 49528 62072 74292 93108 148584 186216 318119 636238 954357 1171609 1272476 1908714 2343218 2544952 3514827 3817428 4686436 7029654 7634856 9372872 14059308 28118616 48035969 96071938 144107907 192143876 288215814 384287752 576431628 1152863256