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2506440304 = 242921125601
BaseRepresentation
bin1001010101100101…
…0011111001110000
320110200022100201101
42111121103321300
520113122042204
61052413414144
7116053251064
oct22531237160
96420270641
102506440304
111076902775
1259b49a354
1330c375994
1419ac49aa4
15ea09dea4
hex95653e70

2506440304 has 40 divisors (see below), whose sum is σ = 5047690320. Its totient is φ = 1204224000.

The previous prime is 2506440289. The next prime is 2506440353. The reversal of 2506440304 is 4030446052.

2506440304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25064403042 = 12564485995031224832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85104 + ... + 110704.

It is an arithmetic number, because the mean of its divisors is an integer number (126192258).

Almost surely, 22506440304 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 2506440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523845160).

2506440304 is an abundant number, since it is smaller than the sum of its proper divisors (2541250016).

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

2506440304 is a wasteful number, since it uses less digits than its factorization.

2506440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25849 (or 25843 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2506440304 is about 50064.3616158241. The cubic root of 2506440304 is about 1358.3732539269.

Adding to 2506440304 its reverse (4030446052), we get a palindrome (6536886356).

The spelling of 2506440304 in words is "two billion, five hundred six million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 211 232 422 464 844 1688 3376 6119 12238 24476 25601 48952 51202 97904 102404 204808 409616 742429 1484858 2969716 5401811 5939432 10803622 11878864 21607244 43214488 86428976 156652519 313305038 626610076 1253220152 2506440304