Search a number
-
+
5157216 = 253347127
BaseRepresentation
bin10011101011000101100000
3100201000101000
4103223011200
52310012331
6302312000
761556421
oct23530540
910630330
105157216
112a02769
121888600
1310b750c
14983648
156bd0e6
hex4eb160

5157216 has 96 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1669248.

The previous prime is 5157203. The next prime is 5157241. The reversal of 5157216 is 6127515.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5157216.

It is a congruent number.

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, 40545 + ... + 40671.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25157216 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 5157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5157216 is an abundant number, since it is smaller than the sum of its proper divisors (10325664).

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

5157216 is a wasteful number, since it uses less digits than its factorization.

5157216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5157216 is about 2270.9504618111. The cubic root of 5157216 is about 172.7713687131.

Subtracting 5157216 from its reverse (6127515), we obtain a cube (970299 = 993).

The spelling of 5157216 in words is "five million, one hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 127 141 144 188 216 254 282 288 376 381 423 432 508 564 752 762 846 864 1016 1128 1143 1269 1504 1524 1692 2032 2256 2286 2538 3048 3384 3429 4064 4512 4572 5076 5969 6096 6768 6858 9144 10152 11938 12192 13536 13716 17907 18288 20304 23876 27432 35814 36576 40608 47752 53721 54864 71628 95504 107442 109728 143256 161163 191008 214884 286512 322326 429768 573024 644652 859536 1289304 1719072 2578608 5157216