Search a number
-
+
4656368 = 241721953
BaseRepresentation
bin10001110000110011110000
322202120100002
4101300303300
52143000433
6243445132
754402263
oct21606360
98676302
104656368
1126a0442
1216867a8
13c70562
14892cda
1561e9e8
hex470cf0

4656368 has 60 divisors (see below), whose sum is σ = 10278360. Its totient is φ = 2036736.

The previous prime is 4656367. The next prime is 4656397. The reversal of 4656368 is 8636564.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87830 + ... + 87882.

It is an arithmetic number, because the mean of its divisors is an integer number (171306).

Almost surely, 24656368 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 4656368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139180).

4656368 is an abundant number, since it is smaller than the sum of its proper divisors (5621992).

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

4656368 is a wasteful number, since it uses less digits than its factorization.

4656368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 4656368 is about 2157.8619047567. The cubic root of 4656368 is about 166.9869113769.

The spelling of 4656368 in words is "four million, six hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 53 68 76 106 136 152 212 272 289 304 323 424 578 646 848 901 1007 1156 1292 1802 2014 2312 2584 3604 4028 4624 5168 5491 7208 8056 10982 14416 15317 16112 17119 21964 30634 34238 43928 61268 68476 87856 122536 136952 245072 273904 291023 582046 1164092 2328184 4656368