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4796136 = 2332292297
BaseRepresentation
bin10010010010111011101000
3100000200001200
4102102323220
52211434021
6250444200
755523622
oct22227350
910020050
104796136
112786454
121733660
13cbc067
148cbc12
1564b126
hex492ee8

4796136 has 48 divisors (see below), whose sum is σ = 13443300. Its totient is φ = 1542912.

The previous prime is 4796131. The next prime is 4796149. The reversal of 4796136 is 6316974.

It can be written as a sum of positive squares in 2 ways, for example, as 4796100 + 36 = 2190^2 + 6^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4796136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4796131) 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 11 ways as a sum of consecutive naturals, for example, 940 + ... + 3236.

Almost surely, 24796136 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 4796136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721650).

4796136 is an abundant number, since it is smaller than the sum of its proper divisors (8647164).

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

4796136 is a wasteful number, since it uses less digits than its factorization.

4796136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2331 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4796136 is about 2190.0082191627. The cubic root of 4796136 is about 168.6412566893.

Subtracting from 4796136 its sum of digits (36), we obtain a square (4796100 = 21902).

It can be divided in two parts, 47961 and 36, that multiplied together give a square (1726596 = 13142).

The spelling of 4796136 in words is "four million, seven hundred ninety-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2297 4594 6891 9188 13782 18376 20673 27564 41346 55128 66613 82692 133226 165384 199839 266452 399678 532904 599517 799356 1199034 1598712 2398068 4796136