Search a number
-
+
5219712 = 273223197
BaseRepresentation
bin10011111010010110000000
3100211012002200
4103322112000
52314012322
6303513200
762236551
oct23722600
910735080
105219712
112a45713
1218b8800
131109ab4
1499c328
156d18ac
hex4fa580

5219712 has 96 divisors (see below), whose sum is σ = 15752880. Its totient is φ = 1655808.

The previous prime is 5219657. The next prime is 5219717. The reversal of 5219712 is 2179125.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26398 + ... + 26594.

Almost surely, 25219712 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 5219712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876440).

5219712 is an abundant number, since it is smaller than the sum of its proper divisors (10533168).

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

5219712 is a wasteful number, since it uses less digits than its factorization.

5219712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 5219712 is about 2284.6689038020. The cubic root of 5219712 is about 173.4664592014.

The spelling of 5219712 in words is "five million, two hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 197 207 276 288 368 384 394 414 552 576 591 736 788 828 1104 1152 1182 1472 1576 1656 1773 2208 2364 2944 3152 3312 3546 4416 4531 4728 6304 6624 7092 8832 9062 9456 12608 13248 13593 14184 18124 18912 25216 26496 27186 28368 36248 37824 40779 54372 56736 72496 75648 81558 108744 113472 144992 163116 217488 226944 289984 326232 434976 579968 652464 869952 1304928 1739904 2609856 5219712