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4051449801 = 32744332
BaseRepresentation
bin1111000101111100…
…0011011111001001
3101110100111222022100
43301133003133021
531244132343201
61510004344013
7202253520000
oct36137033711
911410458270
104051449801
111799a35223
129509a5009
134c7496999
142a6107c37
1518aa39886
hexf17c37c9

4051449801 has 45 divisors (see below), whose sum is σ = 6842840199. Its totient is φ = 2309767488.

The previous prime is 4051449769. The next prime is 4051449803. The reversal of 4051449801 is 1089441504.

The square root of 4051449801 is 63651.

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

It can be written as a sum of positive squares in only one way, i.e., 454329225 + 3597120576 = 21315^2 + 59976^2 .

It is not a de Polignac number, because 4051449801 - 25 = 4051449769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4051449803) 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 44 ways as a sum of consecutive naturals, for example, 9356481 + ... + 9356913.

Almost surely, 24051449801 is an apocalyptic number.

4051449801 is the 63651-st square number.

4051449801 is the 31826-th centered octagonal number.

It is an amenable number.

4051449801 is a deficient number, since it is larger than the sum of its proper divisors (2791390398).

4051449801 is an frugal number, since it uses more digits than its factorization.

4051449801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 4051449801 is about 1594.1780339783.

Multiplying 4051449801 by its sum of digits (36), we get a square (145852192836 = 3819062).

The spelling of 4051449801 in words is "four billion, fifty-one million, four hundred forty-nine thousand, eight hundred one".

Divisors: 1 3 7 9 21 49 63 147 343 433 441 1029 1299 2401 3031 3087 3897 7203 9093 21217 21609 27279 63651 148519 187489 190953 445557 562467 1039633 1312423 1336671 1687401 3118899 3937269 9186961 9356697 11811807 27560883 64308727 82682649 192926181 450161089 578778543 1350483267 4051449801