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4845216 = 253411231
BaseRepresentation
bin10010011110111010100000
3100010011101110
4102132322200
52220021331
6251503320
756116665
oct22367240
910104343
104845216
11280a312
121757b40
1310084bc
14901a6c
1565a946
hex49eea0

4845216 has 48 divisors (see below), whose sum is σ = 13039488. Its totient is φ = 1574400.

The previous prime is 4845199. The next prime is 4845241. The reversal of 4845216 is 6125484.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×48452162 = 46952236173312, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3321 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (271656).

Almost surely, 24845216 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 4845216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519744).

4845216 is an abundant number, since it is smaller than the sum of its proper divisors (8194272).

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

4845216 is a wasteful number, since it uses less digits than its factorization.

4845216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 4845216 is about 2201.1851353305. The cubic root of 4845216 is about 169.2145542421.

The spelling of 4845216 in words is "four million, eight hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1231 1312 1968 2462 3693 3936 4924 7386 9848 14772 19696 29544 39392 50471 59088 100942 118176 151413 201884 302826 403768 605652 807536 1211304 1615072 2422608 4845216