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4966880 = 25537839
BaseRepresentation
bin10010111100100111100000
3100100100021112
4102330213200
52232420010
6254242452
760134462
oct22744740
910310245
104966880
112892766
1217b6428
13104b9a9
14934132
15681a05
hex4bc9e0

4966880 has 48 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1930752.

The previous prime is 4966853. The next prime is 4966889. The reversal of 4966880 is 886694.

4966880 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5501 + ... + 6339.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 24966880 is an apocalyptic number.

4966880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4966880 is an abundant number, since it is smaller than the sum of its proper divisors (7098880).

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

4966880 is a wasteful number, since it uses less digits than its factorization.

4966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 4966880 is about 2228.6498154712. The cubic root of 4966880 is about 170.6191952387.

The spelling of 4966880 in words is "four million, nine hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 839 1184 1480 1678 2960 3356 4195 5920 6712 8390 13424 16780 26848 31043 33560 62086 67120 124172 134240 155215 248344 310430 496688 620860 993376 1241720 2483440 4966880