Search a number
-
+
4972428 = 2234103149
BaseRepresentation
bin10010111101111110001100
3100100121220000
4102331332030
52233104203
6254324300
760156606
oct22757614
910317800
104972428
11289694a
1217b9690
131051386
14936176
156834a3
hex4bdf8c

4972428 has 60 divisors (see below), whose sum is σ = 13213200. Its totient is φ = 1630368.

The previous prime is 4972423. The next prime is 4972469. The reversal of 4972428 is 8242794.

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

It is a junction number, because it is equal to n+sod(n) for n = 4972392 and 4972401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972423) 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, 33298 + ... + 33446.

It is an arithmetic number, because the mean of its divisors is an integer number (220220).

Almost surely, 24972428 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 4972428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606600).

4972428 is an abundant number, since it is smaller than the sum of its proper divisors (8240772).

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

4972428 is a wasteful number, since it uses less digits than its factorization.

4972428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4972428 is about 2229.8941678923. The cubic root of 4972428 is about 170.6826987571.

The spelling of 4972428 in words is "four million, nine hundred seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 149 162 206 298 309 324 412 447 596 618 894 927 1236 1341 1788 1854 2682 2781 3708 4023 5364 5562 8046 8343 11124 12069 15347 16092 16686 24138 30694 33372 46041 48276 61388 92082 138123 184164 276246 414369 552492 828738 1243107 1657476 2486214 4972428