Search a number
-
+
3956158404 = 22321129532
BaseRepresentation
bin1110101111001110…
…0010111111000100
3101012201012200002100
43223303202333010
531100234032104
61452322112100
7200015535342
oct35363427704
911181180070
103956158404
11175016a400
12924aab630
134b0811443
142975c0992
151824b5139
hexebce2fc4

3956158404 has 81 divisors (see below), whose sum is σ = 11003599789. Its totient is φ = 1197577920.

The previous prime is 3956158391. The next prime is 3956158421. The reversal of 3956158404 is 4048516593.

The square root of 3956158404 is 62898.

It is a perfect power (a square), and thus also a powerful number.

3956158404 is a `hidden beast` number, since 3 + 9 + 5 + 61 + 584 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1647548100 + 2308610304 = 40590^2 + 48048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3956158404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4150792 + ... + 4151744.

Almost surely, 23956158404 is an apocalyptic number.

3956158404 is the 62898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956158404

3956158404 is an abundant number, since it is smaller than the sum of its proper divisors (7047441385).

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

3956158404 is a wasteful number, since it uses less digits than its factorization.

3956158404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 3956158404 is about 1581.5802173613.

The spelling of 3956158404 in words is "three billion, nine hundred fifty-six million, one hundred fifty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 953 1089 1452 1906 2178 2859 3812 4356 5718 8577 10483 11436 17154 20966 31449 34308 41932 62898 94347 115313 125796 188694 230626 345939 377388 461252 691878 908209 1037817 1383756 1816418 2075634 2724627 3632836 4151268 5449254 8173881 9990299 10898508 16347762 19980598 29970897 32695524 39961196 59941794 89912691 109893289 119883588 179825382 219786578 329679867 359650764 439573156 659359734 989039601 1318719468 1978079202 3956158404