Search a number
-
+
4620192 = 2531719149
BaseRepresentation
bin10001100111111110100000
322200201201020
4101213332200
52140321232
6243005440
754161643
oct21477640
98621636
104620192
112676245
121669880
13c59c55
14883a5a
15613e2c
hex467fa0

4620192 has 96 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 1363968.

The previous prime is 4620191. The next prime is 4620223. The reversal of 4620192 is 2910264.

4620192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4620191) 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, 30934 + ... + 31082.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 24620192 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 4620192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

4620192 is an abundant number, since it is smaller than the sum of its proper divisors (8987808).

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

4620192 is a wasteful number, since it uses less digits than its factorization.

4620192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4620192 is about 2149.4631887985. The cubic root of 4620192 is about 166.5533380684.

The spelling of 4620192 in words is "four million, six hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 149 152 204 228 272 298 304 323 408 447 456 544 596 608 646 816 894 912 969 1192 1292 1632 1788 1824 1938 2384 2533 2584 2831 3576 3876 4768 5066 5168 5662 7152 7599 7752 8493 10132 10336 11324 14304 15198 15504 16986 20264 22648 30396 31008 33972 40528 45296 48127 60792 67944 81056 90592 96254 121584 135888 144381 192508 243168 271776 288762 385016 577524 770032 1155048 1540064 2310096 4620192