Search a number
-
+
2405009152 = 28713103237
BaseRepresentation
bin1000111101011001…
…1000011100000000
320012121110010100001
42033112120130000
514411140243102
61034351405344
7113412145330
oct21726303400
96177403301
102405009152
111024623a77
12571523854
132c4350950
1418b5a50c0
15e1215487
hex8f598700

2405009152 has 72 divisors (see below), whose sum is σ = 5908517216. Its totient is φ = 951422976.

The previous prime is 2405009141. The next prime is 2405009183. The reversal of 2405009152 is 2519005042.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2405009152.

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 7 ways as a sum of consecutive naturals, for example, 28323 + ... + 74914.

Almost surely, 22405009152 is an apocalyptic number.

It is an amenable number.

2405009152 is an abundant number, since it is smaller than the sum of its proper divisors (3503508064).

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

2405009152 is a wasteful number, since it uses less digits than its factorization.

2405009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103273 (or 103259 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2405009152 is about 49040.8926509296. The cubic root of 2405009152 is about 1339.7967227102.

The spelling of 2405009152 in words is "two billion, four hundred five million, nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 23296 103237 206474 412948 722659 825896 1342081 1445318 1651792 2684162 2890636 3303584 5368324 5781272 6607168 9394567 10736648 11562544 13214336 18789134 21473296 23125088 26428672 37578268 42946592 46250176 75156536 85893184 92500352 150313072 171786368 185000704 300626144 343572736 601252288 1202504576 2405009152