Search a number
-
+
4722872 = 2371121741
BaseRepresentation
bin10010000001000010111000
322212221120012
4102001002320
52202112442
6245121052
755100210
oct22010270
98787505
104722872
112736400
1216b9188
13c948cb
148ad240
15634582
hex4810b8

4722872 has 96 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1689600.

The previous prime is 4722871. The next prime is 4722899. The reversal of 4722872 is 2782274.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 43 + 7 + 212 + 219 + 82 + 72 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4722871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115172 + ... + 115212.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 24722872 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 4722872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4722872 is an abundant number, since it is smaller than the sum of its proper divisors (7342888).

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

4722872 is a wasteful number, since it uses less digits than its factorization.

4722872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 4722872 is about 2173.2169703000. The cubic root of 4722872 is about 167.7781463118.

The spelling of 4722872 in words is "four million, seven hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 41 44 56 68 77 82 88 119 121 136 154 164 187 238 242 287 308 328 374 451 476 484 574 616 697 748 847 902 952 968 1148 1309 1394 1496 1694 1804 2057 2296 2618 2788 3157 3388 3608 4114 4879 4961 5236 5576 6314 6776 7667 8228 9758 9922 10472 12628 14399 15334 16456 19516 19844 25256 28798 30668 34727 39032 39688 53669 57596 61336 69454 84337 107338 115192 138908 168674 214676 277816 337348 429352 590359 674696 1180718 2361436 4722872