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4837063401 = 329722392
BaseRepresentation
bin1001000000100111…
…11011101011101001
3110111002210021120100
410200103323223221
534401242012101
62115551020013
7230603234442
oct44023735351
913432707510
104837063401
11206243a365
12b2bb0a609
135c11805c1
1433c5aa2c9
151d49bde86
hex1204fbae9

4837063401 has 27 divisors (see below), whose sum is σ = 7089303351. Its totient is φ = 3178111104.

The previous prime is 4837063379. The next prime is 4837063409. The reversal of 4837063401 is 1043607384.

The square root of 4837063401 is 69549.

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., 2172026025 + 2665037376 = 46605^2 + 51624^2 .

It is not a de Polignac number, because 4837063401 - 29 = 4837062889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4837063409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20238640 + ... + 20238878.

Almost surely, 24837063401 is an apocalyptic number.

4837063401 is the 69549-th square number.

4837063401 is the 34775-th centered octagonal number.

It is an amenable number.

4837063401 is a deficient number, since it is larger than the sum of its proper divisors (2252239950).

4837063401 is an frugal number, since it uses more digits than its factorization.

4837063401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 4837063401 is about 1691.1959370987.

Multiplying 4837063401 by its sum of digits (36), we get a square (174134282436 = 4172942).

The spelling of 4837063401 in words is "four billion, eight hundred thirty-seven million, sixty-three thousand, four hundred one".

Divisors: 1 3 9 97 239 291 717 873 2151 9409 23183 28227 57121 69549 84681 171363 208647 514089 2248751 5540737 6746253 16622211 20238759 49866633 537451489 1612354467 4837063401