Search a number
-
+
874528840 = 235431732939
BaseRepresentation
bin110100001000000…
…100000001001000
32020221120200001001
4310020010001020
53242334410330
6222440104344
730446241523
oct6410040110
92227520031
10874528840
11409715509
12204a650b4
1310c248bb3
1484209bba
1551b999ca
hex34204048

874528840 has 64 divisors (see below), whose sum is σ = 2025777600. Its totient is φ = 339585792.

The previous prime is 874528819. The next prime is 874528847. The reversal of 874528840 is 48825478.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (874528847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296091 + ... + 299029.

It is an arithmetic number, because the mean of its divisors is an integer number (31652775).

Almost surely, 2874528840 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 874528840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012888800).

874528840 is an abundant number, since it is smaller than the sum of its proper divisors (1151248760).

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

874528840 is a wasteful number, since it uses less digits than its factorization.

874528840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 874528840 is about 29572.4337855375. The cubic root of 874528840 is about 956.2938850095.

The spelling of 874528840 in words is "eight hundred seventy-four million, five hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 173 215 344 346 430 692 860 865 1384 1720 1730 2939 3460 5878 6920 7439 11756 14695 14878 23512 29390 29756 37195 58780 59512 74390 117560 126377 148780 252754 297560 505508 508447 631885 1011016 1016894 1263770 2033788 2527540 2542235 4067576 5055080 5084470 10168940 20337880 21863221 43726442 87452884 109316105 174905768 218632210 437264420 874528840