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4233216 = 21131353
BaseRepresentation
bin10000001001100000000000
321222001212210
4100021200000
52040430331
6230422120
750660511
oct20114000
97861783
104233216
112431529
121501940
13b52a80
147c2a08
15589446
hex409800

4233216 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1277952.

The previous prime is 4233199. The next prime is 4233247. The reversal of 4233216 is 6123324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4233192 and 4233201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79846 + ... + 79898.

Almost surely, 24233216 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 4233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4233216 is an abundant number, since it is smaller than the sum of its proper divisors (8150064).

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

4233216 is a wasteful number, since it uses less digits than its factorization.

4233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 4233216 is about 2057.4780679268. The cubic root of 4233216 is about 161.7670787738.

The spelling of 4233216 in words is "four million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 512 624 636 689 768 832 848 1024 1248 1272 1378 1536 1664 1696 2048 2067 2496 2544 2756 3072 3328 3392 4134 4992 5088 5512 6144 6656 6784 8268 9984 10176 11024 13312 13568 16536 19968 20352 22048 26624 27136 33072 39936 40704 44096 54272 66144 79872 81408 88192 108544 132288 162816 176384 264576 325632 352768 529152 705536 1058304 1411072 2116608 4233216