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4973664 = 253103503
BaseRepresentation
bin10010111110010001100000
3100100200120210
4102332101200
52233124124
6254334120
760163323
oct22762140
910320523
104973664
112897873
1217ba340
131051ac7
149367ba
15683a29
hex4be460

4973664 has 48 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1638528.

The previous prime is 4973653. The next prime is 4973711. The reversal of 4973664 is 4663794.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9637 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 24973664 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 4973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4973664 is an abundant number, since it is smaller than the sum of its proper divisors (8235168).

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

4973664 is a wasteful number, since it uses less digits than its factorization.

4973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 4973664 is about 2230.1712938696. The cubic root of 4973664 is about 170.6968398258.

The spelling of 4973664 in words is "four million, nine hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 503 618 824 1006 1236 1509 1648 2012 2472 3018 3296 4024 4944 6036 8048 9888 12072 16096 24144 48288 51809 103618 155427 207236 310854 414472 621708 828944 1243416 1657888 2486832 4973664