Search a number
-
+
879056490 = 2351319111801
BaseRepresentation
bin110100011001010…
…101011001101010
32021021002200210210
4310121111121222
53300014301430
6223121121550
730532566624
oct6431253152
92237080723
10879056490
11411228174
122064892b6
13110172990
1484a67c14
15522912b0
hex3465566a

879056490 has 64 divisors (see below), whose sum is σ = 2284111872. Its totient is φ = 215232000.

The previous prime is 879056483. The next prime is 879056501. The reversal of 879056490 is 94650978.

879056490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8790564902 = 1545480625222240200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68590 + ... + 80390.

It is an arithmetic number, because the mean of its divisors is an integer number (35689248).

Almost surely, 2879056490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879056490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142055936).

879056490 is an abundant number, since it is smaller than the sum of its proper divisors (1405055382).

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

879056490 is a wasteful number, since it uses less digits than its factorization.

879056490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015.

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 879056490 is about 29648.8868256466. The cubic root of 879056490 is about 957.9413676864.

It can be divided in two parts, 87905 and 6490, that added together give a triangular number (94395 = T434).

The spelling of 879056490 in words is "eight hundred seventy-nine million, fifty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 191 195 382 390 573 955 1146 1910 2483 2865 4966 5730 7449 11801 12415 14898 23602 24830 35403 37245 59005 70806 74490 118010 153413 177015 306826 354030 460239 767065 920478 1534130 2253991 2301195 4507982 4602390 6761973 11269955 13523946 22539910 29301883 33809865 58603766 67619730 87905649 146509415 175811298 293018830 439528245 879056490