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4962996 = 2232891549
BaseRepresentation
bin10010111011101010110100
3100100010221200
4102323222310
52232303441
6254212500
760120243
oct22735264
910303850
104962996
11288a855
1217b4130
131049cac
1493295a
156807b6
hex4bbab4

4962996 has 36 divisors (see below), whose sum is σ = 12694500. Its totient is φ = 1634688.

The previous prime is 4962989. The next prime is 4963001. The reversal of 4962996 is 6992694.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 3663396 = 1140^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2430 + ... + 3978.

It is an arithmetic number, because the mean of its divisors is an integer number (352625).

Almost surely, 24962996 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 4962996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347250).

4962996 is an abundant number, since it is smaller than the sum of its proper divisors (7731504).

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

4962996 is a wasteful number, since it uses less digits than its factorization.

4962996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1643 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 4962996 is about 2227.7782654474. The cubic root of 4962996 is about 170.5747100512.

The spelling of 4962996 in words is "four million, nine hundred sixty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1549 1602 3098 3204 4647 6196 9294 13941 18588 27882 55764 137861 275722 413583 551444 827166 1240749 1654332 2481498 4962996