Search a number
-
+
1825328328 = 2331943127733
BaseRepresentation
bin110110011001100…
…0100110011001000
311201012200021201220
41230303010303020
512214241001303
6501043042040
763143014635
oct15463046310
94635607656
101825328328
1185739420a
1242b370320
1323121a845
141345cb18c
15aa3ad053
hex6ccc4cc8

1825328328 has 128 divisors (see below), whose sum is σ = 4960665600. Its totient is φ = 557819136.

The previous prime is 1825328327. The next prime is 1825328339. The reversal of 1825328328 is 8238235281.

It is a self number, because there is not a number n which added to its sum of digits gives 1825328328.

It is not an unprimeable number, because it can be changed into a prime (1825328327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2489850 + ... + 2490582.

It is an arithmetic number, because the mean of its divisors is an integer number (38755200).

Almost surely, 21825328328 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 1825328328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480332800).

1825328328 is an abundant number, since it is smaller than the sum of its proper divisors (3135337272).

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

1825328328 is a wasteful number, since it uses less digits than its factorization.

1825328328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 927 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1825328328 is about 42723.8613423459. The cubic root of 1825328328 is about 1222.1194744088.

The spelling of 1825328328 in words is "one billion, eight hundred twenty-five million, three hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 127 129 152 172 228 254 258 344 381 456 508 516 733 762 817 1016 1032 1466 1524 1634 2199 2413 2451 2932 3048 3268 4398 4826 4902 5461 5864 6536 7239 8796 9652 9804 10922 13927 14478 16383 17592 19304 19608 21844 27854 28956 31519 32766 41781 43688 55708 57912 63038 65532 83562 93091 94557 103759 111416 126076 131064 167124 186182 189114 207518 252152 279273 311277 334248 372364 378228 415036 558546 598861 622554 744728 756456 830072 1117092 1197722 1245108 1768729 1796583 2234184 2395444 2490216 3537458 3593166 4002913 4790888 5306187 7074916 7186332 8005826 10612374 12008739 14149832 14372664 16011652 21224748 24017478 32023304 42449496 48034956 76055347 96069912 152110694 228166041 304221388 456332082 608442776 912664164 1825328328