Search a number
-
+
826488972 = 2232107214561
BaseRepresentation
bin110001010000110…
…011100010001100
32010121011222201200
4301100303202030
53143040121342
6214002305500
726324016561
oct6120634214
92117158650
10826488972
11394593441
121b0958290
131022c8a3a
147baa2868
154c85a94c
hex3143388c

826488972 has 36 divisors (see below), whose sum is σ = 2108715336. Its totient is φ = 272920320.

The previous prime is 826488967. The next prime is 826489043. The reversal of 826488972 is 279884628.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103429 + ... + 111132.

It is an arithmetic number, because the mean of its divisors is an integer number (58575426).

Almost surely, 2826488972 is an apocalyptic number.

It is an amenable number.

826488972 is an abundant number, since it is smaller than the sum of its proper divisors (1282226364).

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

826488972 is a wasteful number, since it uses less digits than its factorization.

826488972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214678 (or 214673 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 826488972 is about 28748.7212237345. The cubic root of 826488972 is about 938.4526269808.

The spelling of 826488972 in words is "eight hundred twenty-six million, four hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 214561 429122 643683 858244 1287366 1931049 2574732 3862098 7724196 22958027 45916054 68874081 91832108 137748162 206622243 275496324 413244486 826488972