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4955856 = 24323672
BaseRepresentation
bin10010111001111011010000
3100022210011020
4102321323100
52232041411
6254115440
760060363
oct22717320
910283136
104955856
112885454
1217abb80
131046979
149300da
1567d606
hex4b9ed0

4955856 has 60 divisors (see below), whose sum is σ = 13561632. Its totient is φ = 1556544.

The previous prime is 4955851. The next prime is 4955869. The reversal of 4955856 is 6585594.

4955856 = T441 + T442 + ... + T486.

4955856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4955851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73935 + ... + 74001.

Almost surely, 24955856 is an apocalyptic number.

4955856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816).

4955856 is an abundant number, since it is smaller than the sum of its proper divisors (8605776).

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

4955856 is a wasteful number, since it uses less digits than its factorization.

4955856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 95 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 4955856 is about 2226.1751952620. The cubic root of 4955856 is about 170.4928718537.

The spelling of 4955856 in words is "four million, nine hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 134 138 184 201 268 276 368 402 536 552 804 1072 1104 1541 1608 3082 3216 4489 4623 6164 8978 9246 12328 13467 17956 18492 24656 26934 35912 36984 53868 71824 73968 103247 107736 206494 215472 309741 412988 619482 825976 1238964 1651952 2477928 4955856