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4961968 = 24113233
BaseRepresentation
bin10010111011011010110000
3100100002112121
4102323122300
52232240333
6254204024
760114244
oct22733260
910302477
104961968
11288a000
1217b3614
13104969b
14932424
1568032d
hex4bb6b0

4961968 has 40 divisors (see below), whose sum is σ = 10619856. Its totient is φ = 2245760.

The previous prime is 4961963. The next prime is 4961969. The reversal of 4961968 is 8691694.

It is a super-2 number, since 2×49619682 = 49242252866048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4961963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21180 + ... + 21412.

Almost surely, 24961968 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 4961968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309928).

4961968 is an abundant number, since it is smaller than the sum of its proper divisors (5657888).

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

4961968 is a wasteful number, since it uses less digits than its factorization.

4961968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 4961968 is about 2227.5475303571. The cubic root of 4961968 is about 170.5629320237.

It can be divided in two parts, 4961 and 968, that added together give a square (5929 = 772).

The spelling of 4961968 in words is "four million, nine hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 233 242 466 484 932 968 1331 1864 1936 2563 2662 3728 5126 5324 10252 10648 20504 21296 28193 41008 56386 112772 225544 310123 451088 620246 1240492 2480984 4961968