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4960944 = 243247733
BaseRepresentation
bin10010111011001010110000
3100100001010200
4102323022300
52232222234
6254155200
760111252
oct22731260
910301120
104960944
11288925a
1217b2b00
131049091
14931cd2
1567ed99
hex4bb2b0

4960944 has 60 divisors (see below), whose sum is σ = 14198496. Its totient is φ = 1616256.

The previous prime is 4960937. The next prime is 4960951. The reversal of 4960944 is 4490694.

4960944 is a `hidden beast` number, since 4 + 9 + 609 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (4960937) and next prime (4960951).

It is a super-2 number, since 2×49609442 = 49221930742272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4960899 and 4960908.

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 11 ways as a sum of consecutive naturals, for example, 6402 + ... + 7134.

Almost surely, 24960944 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 4960944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099248).

4960944 is an abundant number, since it is smaller than the sum of its proper divisors (9237552).

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

4960944 is a wasteful number, since it uses less digits than its factorization.

4960944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4960944 is about 2227.3176693054. The cubic root of 4960944 is about 170.5511982077.

The spelling of 4960944 in words is "four million, nine hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 733 752 846 1128 1466 1692 2199 2256 2932 3384 4398 5864 6597 6768 8796 11728 13194 17592 26388 34451 35184 52776 68902 103353 105552 137804 206706 275608 310059 413412 551216 620118 826824 1240236 1653648 2480472 4960944