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2553892092 = 2235792421
BaseRepresentation
bin1001100000111001…
…0100110011111100
320120222121011100000
42120032110303330
520212244021332
61101230434300
7120200503353
oct23016246374
96528534300
102553892092
1110a0672a24
125b3362990
1331914b26b
141a327c99a
15ee323b7c
hex98394cfc

2553892092 has 108 divisors (see below), whose sum is σ = 6796693176. Its totient is φ = 838524960.

The previous prime is 2553892069. The next prime is 2553892093. The reversal of 2553892092 is 2902983552.

2553892092 is a `hidden beast` number, since 2 + 5 + 538 + 9 + 20 + 92 = 666.

2553892092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553892093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6066042 + ... + 6066462.

Almost surely, 22553892092 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 2553892092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398346588).

2553892092 is an abundant number, since it is smaller than the sum of its proper divisors (4242801084).

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

2553892092 is an equidigital number, since it uses as much as digits as its factorization.

2553892092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2553892092 is about 50536.0474512996. The cubic root of 2553892092 is about 1366.8919351320.

The spelling of 2553892092 in words is "two billion, five hundred fifty-three million, eight hundred ninety-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 421 474 486 711 842 948 972 1263 1422 1684 2133 2526 2844 3789 4266 5052 6241 6399 7578 8532 11367 12482 12798 15156 18723 19197 22734 24964 25596 33259 34101 37446 38394 45468 56169 66518 68202 74892 76788 99777 102303 112338 133036 136404 168507 199554 204606 224676 299331 337014 399108 409212 505521 598662 674028 897993 1011042 1197324 1516563 1795986 2022084 2627461 2693979 3033126 3591972 5254922 5387958 6066252 7882383 8081937 10509844 10775916 15764766 16163874 23647149 31529532 32327748 47294298 70941447 94588596 141882894 212824341 283765788 425648682 638473023 851297364 1276946046 2553892092