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4935996 = 22321353199
BaseRepresentation
bin10010110101000100111100
3100021202220200
4102311010330
52230422441
6253443500
756645442
oct22650474
910252820
104935996
11287153a
1217a0590
13103a910
14926b92
156777b6
hex4b513c

4935996 has 72 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 1482624.

The previous prime is 4935989. The next prime is 4936033. The reversal of 4935996 is 6995394.

It is a happy number.

Its product of digits (262440) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is an unprimeable number.

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, 24705 + ... + 24903.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 24935996 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 4935996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

4935996 is an abundant number, since it is smaller than the sum of its proper divisors (8823204).

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

4935996 is a wasteful number, since it uses less digits than its factorization.

4935996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 270 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 4935996 is about 2221.7101521126. The cubic root of 4935996 is about 170.2648236945.

It can be divided in two parts, 49359 and 96, that added together give a triangular number (49455 = T314).

The spelling of 4935996 in words is "four million, nine hundred thirty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 199 212 234 318 398 468 477 597 636 689 796 954 1194 1378 1791 1908 2067 2388 2587 2756 3582 4134 5174 6201 7164 7761 8268 10348 10547 12402 15522 21094 23283 24804 31044 31641 42188 46566 63282 93132 94923 126564 137111 189846 274222 379692 411333 548444 822666 1233999 1645332 2467998 4935996