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4935216 = 2431113719
BaseRepresentation
bin10010110100111000110000
3100021201211210
4102310320300
52230411331
6253440120
756643246
oct22647060
910251753
104935216
1128709a0
1217a0040
13103a460
14926796
15677446
hex4b4e30

4935216 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1378560.

The previous prime is 4935199. The next prime is 4935221. The reversal of 4935216 is 6125394.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6505 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 24935216 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 4935216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4935216 is an abundant number, since it is smaller than the sum of its proper divisors (10063824).

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

4935216 is a wasteful number, since it uses less digits than its factorization.

4935216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 4935216 is about 2221.5346047271. The cubic root of 4935216 is about 170.2558546463.

It can be divided in two parts, 4935 and 216, that added together give a triangular number (5151 = T101).

The spelling of 4935216 in words is "four million, nine hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 719 858 1144 1438 1716 2157 2288 2876 3432 4314 5752 6864 7909 8628 9347 11504 15818 17256 18694 23727 28041 31636 34512 37388 47454 56082 63272 74776 94908 102817 112164 126544 149552 189816 205634 224328 308451 379632 411268 448656 616902 822536 1233804 1645072 2467608 4935216