Search a number
-
+
4923648 = 28322137
BaseRepresentation
bin10010110010000100000000
3100021010222100
4102302010000
52230024043
6253310400
756564442
oct22620400
910233870
104923648
112863234
121795400
131035102
14922492
15673cd3
hex4b2100

4923648 has 54 divisors (see below), whose sum is σ = 14202734. Its totient is φ = 1640448.

The previous prime is 4923619. The next prime is 4923671. The reversal of 4923648 is 8463294.

It is a happy number.

4923648 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 1937664 = 1728^2 + 1392^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1236 + ... + 3372.

Almost surely, 24923648 is an apocalyptic number.

4923648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101367).

4923648 is an abundant number, since it is smaller than the sum of its proper divisors (9279086).

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

4923648 is a wasteful number, since it uses less digits than its factorization.

4923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2142 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4923648 is about 2218.9294716146. The cubic root of 4923648 is about 170.1227256833.

It can be divided in two parts, 49236 and 48, that added together give a square (49284 = 2222).

The spelling of 4923648 in words is "four million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2137 2304 4274 6411 8548 12822 17096 19233 25644 34192 38466 51288 68384 76932 102576 136768 153864 205152 273536 307728 410304 547072 615456 820608 1230912 1641216 2461824 4923648