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3881007225 = 325231754413
BaseRepresentation
bin1110011101010011…
…0111100001111001
3101000110210121001100
43213110313201321
530422014212400
61441035242013
7165114005604
oct34724674171
911013717040
103881007225
111711800197
129038a9309
1349b08b0a4
1428b61b33b
1517aabd100
hexe7537879

3881007225 has 36 divisors (see below), whose sum is σ = 6973371756. Its totient is φ = 2063303040.

The previous prime is 3881007199. The next prime is 3881007257. The reversal of 3881007225 is 5227001883.

It can be written as a sum of positive squares in 6 ways, for example, as 550793961 + 3330213264 = 23469^2 + 57708^2 .

It is not a de Polignac number, because 3881007225 - 210 = 3881006201 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3881007225.

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 35 ways as a sum of consecutive naturals, for example, 44119 + ... + 98531.

It is an arithmetic number, because the mean of its divisors is an integer number (193704771).

Almost surely, 23881007225 is an apocalyptic number.

It is an amenable number.

3881007225 is a deficient number, since it is larger than the sum of its proper divisors (3092364531).

3881007225 is a wasteful number, since it uses less digits than its factorization.

3881007225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54746 (or 54738 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3881007225 is about 62297.7304963833. The cubic root of 3881007225 is about 1571.5015622039.

The spelling of 3881007225 in words is "three billion, eight hundred eighty-one million, seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 317 951 1585 2853 4755 7925 14265 23775 54413 71325 163239 272065 489717 816195 1360325 2448585 4080975 12242925 17248921 51746763 86244605 155240289 258733815 431223025 776201445 1293669075 3881007225