Search a number
-
+
2504045112 = 2331931117657
BaseRepresentation
bin1001010101000000…
…1011001000111000
320110111210200010120
42111100023020320
520112013420422
61052250213240
7116024014032
oct22520131070
96414720116
102504045112
111075517178
1259a724220
1330ba176ca
1419a7c4c52
15e9c7945c
hex9540b238

2504045112 has 64 divisors (see below), whose sum is σ = 6611155200. Its totient is φ = 788163840.

The previous prime is 2504045099. The next prime is 2504045123. The reversal of 2504045112 is 2115404052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132988 + ... + 150644.

It is an arithmetic number, because the mean of its divisors is an integer number (103299300).

Almost surely, 22504045112 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 2504045112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305577600).

2504045112 is an abundant number, since it is smaller than the sum of its proper divisors (4107110088).

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

2504045112 is a wasteful number, since it uses less digits than its factorization.

2504045112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17992 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2504045112 is about 50040.4347702935. The cubic root of 2504045112 is about 1357.9404220629.

Adding to 2504045112 its reverse (2115404052), we get a palindrome (4619449164).

The spelling of 2504045112 in words is "two billion, five hundred four million, forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 311 456 622 933 1244 1866 2488 3732 5909 7464 11818 17657 17727 23636 35314 35454 47272 52971 70628 70908 105942 141256 141816 211884 335483 423768 670966 1006449 1341932 2012898 2683864 4025796 5491327 8051592 10982654 16473981 21965308 32947962 43930616 65895924 104335213 131791848 208670426 313005639 417340852 626011278 834681704 1252022556 2504045112