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5432896 = 26767181
BaseRepresentation
bin10100101110011001000000
3101020000112101
4110232121000
52342323041
6312240144
764115230
oct24563100
911200471
105432896
1130808a7
1219a0054
131182b41
14a15cc0
15724b31
hex52e640

5432896 has 56 divisors (see below), whose sum is σ = 12574016. Its totient is φ = 2280960.

The previous prime is 5432893. The next prime is 5432923. The reversal of 5432896 is 6982345.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5432893) 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, 29926 + ... + 30106.

It is an arithmetic number, because the mean of its divisors is an integer number (224536).

Almost surely, 25432896 is an apocalyptic number.

5432896 is a gapful number since it is divisible by the number (56) 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 5432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287008).

5432896 is an abundant number, since it is smaller than the sum of its proper divisors (7141120).

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

5432896 is a wasteful number, since it uses less digits than its factorization.

5432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 5432896 is about 2330.8573529927. The cubic root of 5432896 is about 175.7965969738.

It can be divided in two parts, 5432 and 896, that added together give a triangular number (6328 = T112).

The spelling of 5432896 in words is "five million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 181 224 268 362 448 469 536 724 938 1072 1267 1448 1876 2144 2534 2896 3752 4288 5068 5792 7504 10136 11584 12127 15008 20272 24254 30016 40544 48508 81088 84889 97016 169778 194032 339556 388064 679112 776128 1358224 2716448 5432896