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4996944 = 243343269
BaseRepresentation
bin10011000011111101010000
3100101212112000
4103003331100
52234400234
6255034000
760321231
oct23037520
910355460
104996944
112903307
12180b900
13105c594
14941088
1568a899
hex4c3f50

4996944 has 80 divisors (see below), whose sum is σ = 14731200. Its totient is φ = 1620864.

The previous prime is 4996933. The next prime is 4996949. The reversal of 4996944 is 4496994.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4996944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4996949) 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 15 ways as a sum of consecutive naturals, for example, 18442 + ... + 18710.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 24996944 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 4996944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

4996944 is an abundant number, since it is smaller than the sum of its proper divisors (9734256).

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

4996944 is a wasteful number, since it uses less digits than its factorization.

4996944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4996944 is about 2235.3845306792. The cubic root of 4996944 is about 170.9627496577.

The spelling of 4996944 in words is "four million, nine hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 269 344 387 432 516 538 688 774 807 1032 1076 1161 1548 1614 2064 2152 2322 2421 3096 3228 4304 4644 4842 6192 6456 7263 9288 9684 11567 12912 14526 18576 19368 23134 29052 34701 38736 46268 58104 69402 92536 104103 116208 138804 185072 208206 277608 312309 416412 555216 624618 832824 1249236 1665648 2498472 4996944