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4956096 = 26383311
BaseRepresentation
bin10010111001111111000000
3100022210111010
4102321333000
52232043341
6254120520
760061155
oct22717700
910283433
104956096
112885652
1217b0140
131046b02
1493022c
1567d716
hex4b9fc0

4956096 has 56 divisors (see below), whose sum is σ = 13313664. Its totient is φ = 1626880.

The previous prime is 4956073. The next prime is 4956097. The reversal of 4956096 is 6906594.

It is a super-2 number, since 2×49560962 = 49125775122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956097) 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, 15781 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 24956096 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 4956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

4956096 is an abundant number, since it is smaller than the sum of its proper divisors (8357568).

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

4956096 is a wasteful number, since it uses less digits than its factorization.

4956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 4956096 is about 2226.2290987228. The cubic root of 4956096 is about 170.4956239937.

The spelling of 4956096 in words is "four million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 311 332 498 622 664 933 996 1244 1328 1866 1992 2488 2656 3732 3984 4976 5312 7464 7968 9952 14928 15936 19904 25813 29856 51626 59712 77439 103252 154878 206504 309756 413008 619512 826016 1239024 1652032 2478048 4956096