Search a number
-
+
858272604 = 2237431271871
BaseRepresentation
bin110011001010000…
…011001101011100
32012210222202200020
4303022003031130
53224204210404
6221055432140
730161124330
oct6312031534
92183882606
10858272604
11400521a02
121bb525650
13108a76817
1481db77c0
1550537ed9
hex3328335c

858272604 has 96 divisors (see below), whose sum is σ = 2361655296. Its totient is φ = 237504960.

The previous prime is 858272581. The next prime is 858272621. The reversal of 858272604 is 406272858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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, 457789 + ... + 459659.

It is an arithmetic number, because the mean of its divisors is an integer number (24600576).

Almost surely, 2858272604 is an apocalyptic number.

858272604 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858272604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180827648).

858272604 is an abundant number, since it is smaller than the sum of its proper divisors (1503382692).

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

858272604 is a wasteful number, since it uses less digits than its factorization.

858272604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 858272604 is about 29296.2899357581. The cubic root of 858272604 is about 950.3314093968.

The spelling of 858272604 in words is "eight hundred fifty-eight million, two hundred seventy-two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 127 129 172 254 258 301 381 508 516 602 762 889 903 1204 1524 1778 1806 1871 2667 3556 3612 3742 5334 5461 5613 7484 10668 10922 11226 13097 16383 21844 22452 26194 32766 38227 39291 52388 65532 76454 78582 80453 114681 152908 157164 160906 229362 237617 241359 321812 458724 475234 482718 563171 712851 950468 965436 1126342 1425702 1663319 1689513 2252684 2851404 3326638 3379026 4989957 6653276 6758052 9979914 10217531 19959828 20435062 30652593 40870124 61305186 71522717 122610372 143045434 214568151 286090868 429136302 858272604