Search a number
-
+
4820472 = 233443173
BaseRepresentation
bin10010011000110111111000
3100001220110000
4102120313320
52213223342
6251153000
755654566
oct22306770
910056400
104820472
1127a2768
121745760
13cca167
148d6a36
1565344c
hex498df8

4820472 has 80 divisors (see below), whose sum is σ = 13895640. Its totient is φ = 1560384.

The previous prime is 4820447. The next prime is 4820479. The reversal of 4820472 is 2740284.

4820472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820479) 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, 27778 + ... + 27950.

Almost surely, 24820472 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 4820472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947820).

4820472 is an abundant number, since it is smaller than the sum of its proper divisors (9075168).

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

4820472 is a wasteful number, since it uses less digits than its factorization.

4820472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4820472 is about 2195.5573324329. The cubic root of 4820472 is about 168.9260089486.

The spelling of 4820472 in words is "four million, eight hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 173 216 258 324 344 346 387 516 519 648 692 774 1032 1038 1161 1384 1548 1557 2076 2322 3096 3114 3483 4152 4644 4671 6228 6966 7439 9288 9342 12456 13932 14013 14878 18684 22317 27864 28026 29756 37368 44634 56052 59512 66951 89268 112104 133902 178536 200853 267804 401706 535608 602559 803412 1205118 1606824 2410236 4820472