Search a number
-
+
4924764 = 22321317619
BaseRepresentation
bin10010110010010101011100
3100021012111200
4102302111130
52230043024
6253315500
756600625
oct22622534
910235450
104924764
112864059
121795b90
131035780
14922a4c
156742c9
hex4b255c

4924764 has 72 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1423872.

The previous prime is 4924763. The next prime is 4924771. The reversal of 4924764 is 4674294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4 + 96 + 217 + 48 + 74 + 6 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4924763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7647 + ... + 8265.

It is an arithmetic number, because the mean of its divisors is an integer number (197470).

Almost surely, 24924764 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 4924764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4924764 is an abundant number, since it is smaller than the sum of its proper divisors (9293076).

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

4924764 is a wasteful number, since it uses less digits than its factorization.

4924764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 654 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4924764 is about 2219.1809299830. The cubic root of 4924764 is about 170.1355781197.

The spelling of 4924764 in words is "four million, nine hundred twenty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 619 663 884 1238 1326 1857 1989 2476 2652 3714 3978 5571 7428 7956 8047 10523 11142 16094 21046 22284 24141 31569 32188 42092 48282 63138 72423 94707 96564 126276 136799 144846 189414 273598 289692 378828 410397 547196 820794 1231191 1641588 2462382 4924764