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4820032 = 26722953
BaseRepresentation
bin10010011000110001000000
3100001212211201
4102120301000
52213220112
6251150544
755653400
oct22306100
910055751
104820032
1127a23a8
121745454
13cc9bb9
148d6800
15653257
hex498c40

4820032 has 84 divisors (see below), whose sum is σ = 11727180. Its totient is φ = 1956864.

The previous prime is 4820021. The next prime is 4820033. The reversal of 4820032 is 2300284.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 1806336 = 1736^2 + 1344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4819991 and 4820009.

It is not an unprimeable number, because it can be changed into a prime (4820033) 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 11 ways as a sum of consecutive naturals, for example, 90918 + ... + 90970.

Almost surely, 24820032 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 4820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863590).

4820032 is an abundant number, since it is smaller than the sum of its proper divisors (6907148).

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

4820032 is a wasteful number, since it uses less digits than its factorization.

4820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4820032 is about 2195.4571277982. The cubic root of 4820032 is about 168.9208690850.

The spelling of 4820032 in words is "four million, eight hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 53 56 58 64 98 106 112 116 196 203 212 224 232 371 392 406 424 448 464 742 784 812 848 928 1421 1484 1537 1568 1624 1696 1856 2597 2842 2968 3074 3136 3248 3392 5194 5684 5936 6148 6496 10388 10759 11368 11872 12296 12992 20776 21518 22736 23744 24592 41552 43036 45472 49184 75313 83104 86072 90944 98368 150626 166208 172144 301252 344288 602504 688576 1205008 2410016 4820032