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5048102500 = 225474292
BaseRepresentation
bin1001011001110001…
…11110111001100100
3111000210220011210021
410230320332321210
540314303240000
62152530204524
7236045110000
oct45470767144
914023804707
105048102500
112160582141
12b8a723744
13625b013cc
1435c623700
151e82a911a
hex12ce3ee64

5048102500 has 225 divisors, whose sum is σ = 13337681357. Its totient is φ = 1671096000.

The previous prime is 5048102453. The next prime is 5048102531. The reversal of 5048102500 is 52018405.

The square root of 5048102500 is 71050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3775610916 + 1272491584 = 61446^2 + 35672^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 174072486 + ... + 174072514.

Almost surely, 25048102500 is an apocalyptic number.

5048102500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5048102500 is the 71050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5048102500

5048102500 is an abundant number, since it is smaller than the sum of its proper divisors (8289578857).

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

5048102500 is an frugal number, since it uses more digits than its factorization.

5048102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The cubic root of 5048102500 is about 1715.4420629137.

Multiplying 5048102500 by its sum of digits (25), we get a square (126202562500 = 3552502).

5048102500 divided by its sum of digits (25) gives a square (201924100 = 142102).

Multiplying 5048102500 by its product of nonzero digits (1600), we get a square (8076964000000 = 28420002).

The spelling of 5048102500 in words is "five billion, forty-eight million, one hundred two thousand, five hundred".