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5007390444 = 223272329313
BaseRepresentation
bin1001010100111011…
…01011011011101100
3110220222021210100100
410222131223123230
540223342443234
62144513431100
7235042054650
oct45235533354
913828253310
105007390444
11213a5a5611
12b78b6b490
1361a548734
14357066a60
151e4916399
hex12a76b6ec

5007390444 has 288 divisors, whose sum is σ = 16135741440. Its totient is φ = 1278668160.

The previous prime is 5007390407. The next prime is 5007390491. The reversal of 5007390444 is 4440937005.

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

It is a junction number, because it is equal to n+sod(n) for n = 5007390399 and 5007390408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161528709 + ... + 161528739.

It is an arithmetic number, because the mean of its divisors is an integer number (56026880).

Almost surely, 25007390444 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 5007390444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067870720).

5007390444 is an abundant number, since it is smaller than the sum of its proper divisors (11128350996).

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

5007390444 is a wasteful number, since it uses less digits than its factorization.

5007390444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5007390444 is about 70762.9171529835. The cubic root of 5007390444 is about 1710.8180306862.

The spelling of 5007390444 in words is "five billion, seven million, three hundred ninety thousand, four hundred forty-four".