Search a number
-
+
538676544 = 2637487823
BaseRepresentation
bin100000000110111…
…000110101000000
31101112121121022010
4200012320311000
52100400122134
6125241412520
716230450360
oct4006706500
91345547263
10538676544
1125708372a
1213049a140
13877a7423
14517829a0
1532457ce9
hex201b8d40

538676544 has 112 divisors (see below), whose sum is σ = 1634183168. Its totient is φ = 153404928.

The previous prime is 538676521. The next prime is 538676597. The reversal of 538676544 is 445676835.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 538676493 and 538676502.

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, 654117 + ... + 654939.

Almost surely, 2538676544 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 538676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817091584).

538676544 is an abundant number, since it is smaller than the sum of its proper divisors (1095506624).

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

538676544 is a wasteful number, since it uses less digits than its factorization.

538676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1322 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 538676544 is about 23209.4063689703. The cubic root of 538676544 is about 813.6594792195.

The spelling of 538676544 in words is "five hundred thirty-eight million, six hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 487 672 823 974 1344 1461 1646 1948 2469 2922 3292 3409 3896 4938 5761 5844 6584 6818 7792 9876 10227 11522 11688 13168 13636 15584 17283 19752 20454 23044 23376 26336 27272 31168 34566 39504 40908 46088 46752 52672 54544 69132 79008 81816 92176 93504 109088 138264 158016 163632 184352 218176 276528 327264 368704 400801 553056 654528 801602 1106112 1202403 1603204 2404806 2805607 3206408 4809612 5611214 6412816 8416821 9619224 11222428 12825632 16833642 19238448 22444856 25651264 33667284 38476896 44889712 67334568 76953792 89779424 134669136 179558848 269338272 538676544