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5072474628 = 22321311395917
BaseRepresentation
bin1001011100101011…
…11101001000000100
3111002111202102001200
410232111331020010
540342023142003
62155200422500
7236462215524
oct45625751004
914074672050
105072474628
1121733092a1
12b96917a30
1362ab858a0
14361969684
151ea4c06a3
hex12e57d204

5072474628 has 72 divisors (see below), whose sum is σ = 13930746648. Its totient is φ = 1546933248.

The previous prime is 5072474623. The next prime is 5072474639. The reversal of 5072474628 is 8264742705.

It is a happy number.

5072474628 is a `hidden beast` number, since 50 + 72 + 474 + 62 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36869184 + 5035605444 = 6072^2 + 70962^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5072474623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4926 + ... + 100842.

Almost surely, 25072474628 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 5072474628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965373324).

5072474628 is an abundant number, since it is smaller than the sum of its proper divisors (8858272020).

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

5072474628 is a wasteful number, since it uses less digits than its factorization.

5072474628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96053 (or 96048 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 5072474628 is about 71221.3074016477. The cubic root of 5072474628 is about 1718.1983374516.

The spelling of 5072474628 in words is "five billion, seventy-two million, four hundred seventy-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 452 468 678 1017 1356 1469 2034 2938 4068 4407 5876 8814 13221 17628 26442 52884 95917 191834 287751 383668 575502 863253 1151004 1246921 1726506 2493842 3453012 3740763 4987684 7481526 10838621 11222289 14963052 21677242 22444578 32515863 43354484 44889156 65031726 97547589 130063452 140902073 195095178 281804146 390190356 422706219 563608292 845412438 1268118657 1690824876 2536237314 5072474628