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4964480 = 2757757
BaseRepresentation
bin10010111100000010000000
3100100012222122
4102330002000
52232330410
6254223412
760124463
oct22740200
910305878
104964480
112890984
1217b4b68
13104a881
149332da
15680e55
hex4bc080

4964480 has 32 divisors (see below), whose sum is σ = 11869740. Its totient is φ = 1985536.

The previous prime is 4964473. The next prime is 4964483. The reversal of 4964480 is 844694.

It can be written as a sum of positive squares in 2 ways, for example, as 4910656 + 53824 = 2216^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4964480.

It is not an unprimeable number, because it can be changed into a prime (4964483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3239 + ... + 4518.

Almost surely, 24964480 is an apocalyptic number.

4964480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4964480 is an abundant number, since it is smaller than the sum of its proper divisors (6905260).

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

4964480 is an equidigital number, since it uses as much as digits as its factorization.

4964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 4964480 is about 2228.1113078121. Note that the first 3 decimals coincide. The cubic root of 4964480 is about 170.5917097052.

The spelling of 4964480 in words is "four million, nine hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 7757 15514 31028 38785 62056 77570 124112 155140 248224 310280 496448 620560 992896 1241120 2482240 4964480