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4726880 = 25531953
BaseRepresentation
bin10010000010000001100000
322220011001122
4102002001200
52202230010
6245151412
755114664
oct22020140
98804048
104726880
112739414
1216bb568
13c96692
148b08a4
15635855
hex482060

4726880 has 48 divisors (see below), whose sum is σ = 11539584. Its totient is φ = 1827840.

The previous prime is 4726859. The next prime is 4726919. The reversal of 4726880 is 886274.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 4726880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4484 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (240408).

Almost surely, 24726880 is an apocalyptic number.

4726880 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 4726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769792).

4726880 is an abundant number, since it is smaller than the sum of its proper divisors (6812704).

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

4726880 is a wasteful number, since it uses less digits than its factorization.

4726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 4726880 is about 2174.1389100055. The cubic root of 4726880 is about 167.8255937602.

Subtracting from 4726880 its reverse (886274), we obtain a triangular number (3840606 = T2771).

The spelling of 4726880 in words is "four million, seven hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 953 992 1240 1906 2480 3812 4765 4960 7624 9530 15248 19060 29543 30496 38120 59086 76240 118172 147715 152480 236344 295430 472688 590860 945376 1181720 2363440 4726880