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3801585649 = 616572
BaseRepresentation
bin1110001010010111…
…1001011111110001
3100210221100120010111
43202211321133301
530241201220044
61425121101321
7163130642041
oct34245713761
910727316114
103801585649
111680994624
128a1187841
134877a1084
14280c65721
15173b30b34
hexe29797f1

3801585649 has 3 divisors (see below), whose sum is σ = 3801647307. Its totient is φ = 3801523992.

The previous prime is 3801585637. The next prime is 3801585661. The reversal of 3801585649 is 9465851083.

The square root of 3801585649 is 61657.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (3801585637) and next prime (3801585661).

It can be written as a sum of positive squares in only one way, i.e., 1868400625 + 1933185024 = 43225^2 + 43968^2 .

It is not a de Polignac number, because 3801585649 - 25 = 3801585617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3801585629) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 30829 + ... + 92485.

It is an arithmetic number, because the mean of its divisors is an integer number (1267215769).

Almost surely, 23801585649 is an apocalyptic number.

3801585649 is the 61657-th square number.

3801585649 is the 30829-th centered octagonal number.

It is an amenable number.

3801585649 is a deficient number, since it is larger than the sum of its proper divisors (61658).

3801585649 is an frugal number, since it uses more digits than its factorization.

3801585649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123314 (or 61657 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The cubic root of 3801585649 is about 1560.7077723316.

Multiplying 3801585649 by its sum of digits (49), we get a square (186277696801 = 4315992).

The spelling of 3801585649 in words is "three billion, eight hundred one million, five hundred eighty-five thousand, six hundred forty-nine".

Divisors: 1 61657 3801585649