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4923216 = 2432179191
BaseRepresentation
bin10010110001111101010000
3100021010101100
4102301331100
52230020331
6253304400
756563254
oct22617520
910233340
104923216
112862981
121795100
131034b5c
14922264
15673ae6
hex4b1f50

4923216 has 60 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1623360.

The previous prime is 4923209. The next prime is 4923221. The reversal of 4923216 is 6123294.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4923216.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25681 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 24923216 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 4923216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4923216 is an abundant number, since it is smaller than the sum of its proper divisors (9004464).

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

4923216 is a wasteful number, since it uses less digits than its factorization.

4923216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4923216 is about 2218.8321252407. The cubic root of 4923216 is about 170.1177500252.

The spelling of 4923216 in words is "four million, nine hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 191 358 382 537 573 716 764 1074 1146 1432 1528 1611 1719 2148 2292 2864 3056 3222 3438 4296 4584 6444 6876 8592 9168 12888 13752 25776 27504 34189 68378 102567 136756 205134 273512 307701 410268 547024 615402 820536 1230804 1641072 2461608 4923216