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3801488500 = 225310175277
BaseRepresentation
bin1110001010010110…
…0001110001110100
3100210221011121212101
43202211201301310
530241140113000
61425115031444
7163130055565
oct34245416164
910727147771
103801488500
111680928637
128a113b584
13487768aa4
14280c3c16c
15173b11e6a
hexe2961c74

3801488500 has 48 divisors (see below), whose sum is σ = 8384764752. Its totient is φ = 1505520000.

The previous prime is 3801488497. The next prime is 3801488503. The reversal of 3801488500 is 58841083.

It is an interprime number because it is at equal distance from previous prime (3801488497) and next prime (3801488503).

It can be written as a sum of positive squares in 8 ways, for example, as 52620516 + 3748867984 = 7254^2 + 61228^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3801488500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801488503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12862 + ... + 88138.

It is an arithmetic number, because the mean of its divisors is an integer number (174682599).

Almost surely, 23801488500 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 3801488500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192382376).

3801488500 is an abundant number, since it is smaller than the sum of its proper divisors (4583276252).

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

3801488500 is a wasteful number, since it uses less digits than its factorization.

3801488500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75397 (or 75385 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 3801488500 is about 61656.2121768764. The cubic root of 3801488500 is about 1560.6944776606.

The spelling of 3801488500 in words is "three billion, eight hundred one million, four hundred eighty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 2020 2525 5050 10100 12625 25250 50500 75277 150554 301108 376385 752770 1505540 1881925 3763850 7527700 7602977 9409625 15205954 18819250 30411908 37638500 38014885 76029770 152059540 190074425 380148850 760297700 950372125 1900744250 3801488500