Search a number
-
+
871961604 = 2231919120023
BaseRepresentation
bin110011111110010…
…001010000000100
32020202202020110020
4303332101100010
53241210232404
6222305055140
730415360053
oct6376212004
92222666406
10871961604
11408221728
122040274b0
1310b85a517
1483b3c39a
155183ded9
hex33f91404

871961604 has 48 divisors (see below), whose sum is σ = 2152980480. Its totient is φ = 273900960.

The previous prime is 871961593. The next prime is 871961627. The reversal of 871961604 is 406169178.

871961604 = T17 + T18 + ... + T1735.

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, 33537 + ... + 53559.

It is an arithmetic number, because the mean of its divisors is an integer number (44853760).

Almost surely, 2871961604 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 871961604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076490240).

871961604 is an abundant number, since it is smaller than the sum of its proper divisors (1281018876).

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

871961604 is a wasteful number, since it uses less digits than its factorization.

871961604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 871961604 is about 29528.9959869956. The cubic root of 871961604 is about 955.3572136640.

It can be divided in two parts, 87 and 1961604, that added together give a palindrome (1961691).

The spelling of 871961604 in words is "eight hundred seventy-one million, nine hundred sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 191 228 382 573 764 1146 2292 3629 7258 10887 14516 20023 21774 40046 43548 60069 80092 120138 240276 380437 760874 1141311 1521748 2282622 3824393 4565244 7648786 11473179 15297572 22946358 45892716 72663467 145326934 217990401 290653868 435980802 871961604