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20277048 = 2331189863
BaseRepresentation
bin100110101011…
…0011100111000
31102011011212210
41031112130320
520142331143
62002335120
7334231521
oct115263470
942134783
1020277048
111049a4a0
12695a4a0
13427c56c
14299b848
151ba8033
hex1356738

20277048 has 64 divisors (see below), whose sum is σ = 55987200. Its totient is φ = 6068480.

The previous prime is 20277041. The next prime is 20277077. The reversal of 20277048 is 84077202.

It is a super-2 number, since 2×202770482 = 822317351188608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20277041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23065 + ... + 23927.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 220277048 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 20277048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993600).

20277048 is an abundant number, since it is smaller than the sum of its proper divisors (35710152).

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

20277048 is a wasteful number, since it uses less digits than its factorization.

20277048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 20277048 is about 4503.0043304443. The cubic root of 20277048 is about 272.6893916680.

The spelling of 20277048 in words is "twenty million, two hundred seventy-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 863 979 1068 1726 1958 2136 2589 2937 3452 3916 5178 5874 6904 7832 9493 10356 11748 18986 20712 23496 28479 37972 56958 75944 76807 113916 153614 227832 230421 307228 460842 614456 844877 921684 1689754 1843368 2534631 3379508 5069262 6759016 10138524 20277048