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5276016 = 24352359
BaseRepresentation
bin10100001000000101110000
3100221001100000
4110020011300
52322313031
6305030000
762562654
oct24100560
910831300
105276016
112a83a49
121925300
131129605
149b4a64
156e33e6
hex508170

5276016 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1653696.

The previous prime is 5275997. The next prime is 5276017. The reversal of 5276016 is 6106725.

5276016 is a `hidden beast` number, since 52 + 7 + 601 + 6 = 666.

5276016 is nontrivially palindromic in base 15.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5276017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89395 + ... + 89453.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 25276016 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 5276016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5276016 is an abundant number, since it is smaller than the sum of its proper divisors (10972944).

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

5276016 is a wasteful number, since it uses less digits than its factorization.

5276016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5276016 is about 2296.9579882967. The cubic root of 5276016 is about 174.0879460289.

The spelling of 5276016 in words is "five million, two hundred seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 59 69 72 81 92 108 118 138 144 162 177 184 207 216 236 243 276 324 354 368 414 432 472 486 531 552 621 648 708 828 944 972 1062 1104 1242 1296 1357 1416 1593 1656 1863 1944 2124 2484 2714 2832 3186 3312 3726 3888 4071 4248 4779 4968 5428 5589 6372 7452 8142 8496 9558 9936 10856 11178 12213 12744 14337 14904 16284 19116 21712 22356 24426 25488 28674 29808 32568 36639 38232 44712 48852 57348 65136 73278 76464 89424 97704 109917 114696 146556 195408 219834 229392 293112 329751 439668 586224 659502 879336 1319004 1758672 2638008 5276016