Search a number
-
+
538568832 = 2731997761
BaseRepresentation
bin100000000110011…
…110100010000000
31101112102010112210
4200012132202000
52100333200312
6125235222120
716226521344
oct4006364200
91345363483
10538568832
1125700a80a
12130447940
138776a3a9
1451755624
1532435e3c
hex2019e880

538568832 has 128 divisors (see below), whose sum is σ = 1523390400. Its totient is φ = 168099840.

The previous prime is 538568827. The next prime is 538568839. The reversal of 538568832 is 238865835.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (538568839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707332 + ... + 708092.

Almost surely, 2538568832 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 538568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761695200).

538568832 is an abundant number, since it is smaller than the sum of its proper divisors (984821568).

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

538568832 is a wasteful number, since it uses less digits than its factorization.

538568832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 538568832 is about 23207.0858144662. The cubic root of 538568832 is about 813.6052433750.

The spelling of 538568832 in words is "five hundred thirty-eight million, five hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 97 114 128 152 192 194 228 291 304 384 388 456 582 608 761 776 912 1164 1216 1522 1552 1824 1843 2283 2328 2432 3044 3104 3648 3686 4566 4656 5529 6088 6208 7296 7372 9132 9312 11058 12176 12416 14459 14744 18264 18624 22116 24352 28918 29488 36528 37248 43377 44232 48704 57836 58976 73056 73817 86754 88464 97408 115672 117952 146112 147634 173508 176928 221451 231344 235904 292224 295268 347016 353856 442902 462688 590536 694032 707712 885804 925376 1181072 1388064 1402523 1771608 1850752 2362144 2776128 2805046 3543216 4207569 4724288 5552256 5610092 7086432 8415138 9448576 11220184 14172864 16830276 22440368 28345728 33660552 44880736 67321104 89761472 134642208 179522944 269284416 538568832