Search a number
-
+
5072409504 = 253222937681
BaseRepresentation
bin1001011100101011…
…01101001110100000
3111002111122002201200
410232111231032200
540342014101004
62155155201200
7236461524621
oct45625551640
914074562650
105072409504
112173274378
12b968a6200
1362ab62056
1436194da48
151ea4ab239
hex12e56d3a0

5072409504 has 72 divisors (see below), whose sum is σ = 14432834052. Its totient is φ = 1689845760.

The previous prime is 5072409491. The next prime is 5072409521. The reversal of 5072409504 is 4059042705.

It can be written as a sum of positive squares in 2 ways, for example, as 5072288400 + 121104 = 71220^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656544 + ... + 664224.

Almost surely, 25072409504 is an apocalyptic number.

It is an amenable number.

5072409504 is an abundant number, since it is smaller than the sum of its proper divisors (9360424548).

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

5072409504 is a wasteful number, since it uses less digits than its factorization.

5072409504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5072409504 is about 71220.8502055402. The cubic root of 5072409504 is about 1718.1909842735.

The spelling of 5072409504 in words is "five billion, seventy-two million, four hundred nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2293 4586 6879 7681 9172 13758 15362 18344 20637 23043 27516 30724 36688 41274 46086 55032 61448 69129 73376 82548 92172 110064 122896 138258 165096 184344 220128 245792 276516 330192 368688 553032 660384 737376 1106064 2212128 17612533 35225066 52837599 70450132 105675198 140900264 158512797 211350396 281800528 317025594 422700792 563601056 634051188 845401584 1268102376 1690803168 2536204752 5072409504