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4956144 = 243791307
BaseRepresentation
bin10010111001111111110000
3100022210112220
4102321333300
52232044034
6254121040
760061254
oct22717760
910283486
104956144
112885696
1217b0180
131046b3b
14930264
1567d749
hex4b9ff0

4956144 has 40 divisors (see below), whose sum is σ = 12975360. Its totient is φ = 1629888.

The previous prime is 4956139. The next prime is 4956151. The reversal of 4956144 is 4416594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3139 + ... + 4445.

It is an arithmetic number, because the mean of its divisors is an integer number (324384).

Almost surely, 24956144 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 4956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487680).

4956144 is an abundant number, since it is smaller than the sum of its proper divisors (8019216).

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

4956144 is a wasteful number, since it uses less digits than its factorization.

4956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4956144 is about 2226.2398792583. The cubic root of 4956144 is about 170.4961744110.

The spelling of 4956144 in words is "four million, nine hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1307 1896 2614 3792 3921 5228 7842 10456 15684 20912 31368 62736 103253 206506 309759 413012 619518 826024 1239036 1652048 2478072 4956144