Search a number
-
+
472258164 = 223717437691
BaseRepresentation
bin11100001001100…
…001011001110100
31012220122012102010
4130021201121310
51431344230124
6114510044220
714463061650
oct3411413164
91186565363
10472258164
11222639604
121121a9670
1376ac0c01
1446a13a60
152b6d8529
hex1c261674

472258164 has 96 divisors (see below), whose sum is σ = 1364622336. Its totient is φ = 124024320.

The previous prime is 472258159. The next prime is 472258217. The reversal of 472258164 is 461852274.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 57559 + ... + 65249.

It is an arithmetic number, because the mean of its divisors is an integer number (14214816).

Almost surely, 2472258164 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 472258164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682311168).

472258164 is an abundant number, since it is smaller than the sum of its proper divisors (892364172).

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

472258164 is a wasteful number, since it uses less digits than its factorization.

472258164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7763 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 472258164 is about 21731.5016508294. The cubic root of 472258164 is about 778.7412109071.

The spelling of 472258164 in words is "four hundred seventy-two million, two hundred fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 238 258 301 357 476 516 602 714 731 903 1204 1428 1462 1806 2193 2924 3612 4386 5117 7691 8772 10234 15351 15382 20468 23073 30702 30764 46146 53837 61404 92292 107674 130747 161511 215348 261494 323022 330713 392241 522988 646044 661426 784482 915229 992139 1322852 1568964 1830458 1984278 2314991 2745687 3660916 3968556 4629982 5491374 5622121 6944973 9259964 10982748 11244242 13889946 16866363 22488484 27779892 33732726 39354847 67465452 78709694 118064541 157419388 236129082 472258164