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4909284 = 2232315383
BaseRepresentation
bin10010101110100011100100
3100020102021100
4102232203210
52224044114
6253120100
756504532
oct22564344
910212240
104909284
112853466
121789030
13102b703
1491b152
1566e909
hex4ae8e4

4909284 has 72 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1535040.

The previous prime is 4909283. The next prime is 4909301. The reversal of 4909284 is 4829094.

It is a happy number.

4909284 is a `hidden beast` number, since 490 + 92 + 84 = 666.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4909283) 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, 59107 + ... + 59189.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 24909284 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 4909284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4909284 is an abundant number, since it is smaller than the sum of its proper divisors (8299548).

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

4909284 is a wasteful number, since it uses less digits than its factorization.

4909284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4909284 is about 2215.6904115873. The cubic root of 4909284 is about 169.9571287512.

The spelling of 4909284 in words is "four million, nine hundred nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 83 93 106 124 159 166 186 212 249 279 318 332 372 477 498 558 636 747 954 996 1116 1494 1643 1908 2573 2988 3286 4399 4929 5146 6572 7719 8798 9858 10292 13197 14787 15438 17596 19716 23157 26394 29574 30876 39591 46314 52788 59148 79182 92628 136369 158364 272738 409107 545476 818214 1227321 1636428 2454642 4909284