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4960764 = 223461251
BaseRepresentation
bin10010111011000111111100
3100100000220000
4102323013330
52232221024
6254154300
760110604
oct22730774
910300800
104960764
112889106
1217b2990
131048c83
14931c04
1567ecc9
hex4bb1fc

4960764 has 60 divisors (see below), whose sum is σ = 13233528. Its totient is φ = 1620000.

The previous prime is 4960763. The next prime is 4960807. The reversal of 4960764 is 4670694.

4960764 is a `hidden beast` number, since 49 + 607 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19639 + ... + 19889.

Almost surely, 24960764 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 4960764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616764).

4960764 is an abundant number, since it is smaller than the sum of its proper divisors (8272764).

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

4960764 is a wasteful number, since it uses less digits than its factorization.

4960764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4960764 is about 2227.2772615909. The cubic root of 4960764 is about 170.5491354560.

The spelling of 4960764 in words is "four million, nine hundred sixty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 251 324 366 502 549 732 753 1004 1098 1506 1647 2196 2259 3012 3294 4518 4941 6588 6777 9036 9882 13554 15311 19764 20331 27108 30622 40662 45933 61244 81324 91866 137799 183732 275598 413397 551196 826794 1240191 1653588 2480382 4960764