Search a number
-
+
4761768 = 23311171061
BaseRepresentation
bin10010001010100010101000
322221220220210
4102022202220
52204334033
6250021120
755321464
oct22124250
98856823
104761768
112762650
1217177a0
13ca951b
148bd4a4
15640d63
hex48a8a8

4761768 has 64 divisors (see below), whose sum is σ = 13763520. Its totient is φ = 1356800.

The previous prime is 4761763. The next prime is 4761769. The reversal of 4761768 is 8671674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3958 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (215055).

Almost surely, 24761768 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 4761768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881760).

4761768 is an abundant number, since it is smaller than the sum of its proper divisors (9001752).

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

4761768 is a wasteful number, since it uses less digits than its factorization.

4761768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1094 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4761768 is about 2182.1475660459. The cubic root of 4761768 is about 168.2374759497.

The spelling of 4761768 in words is "four million, seven hundred sixty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1061 1122 1496 2122 2244 3183 4244 4488 6366 8488 11671 12732 18037 23342 25464 35013 36074 46684 54111 70026 72148 93368 108222 140052 144296 198407 216444 280104 396814 432888 595221 793628 1190442 1587256 2380884 4761768