Search a number
-
+
28933641 = 321121632
BaseRepresentation
bin110111001011…
…1111000001001
32000102222111100
41232113320021
524401334031
62512052013
7500634432
oct156277011
960388440
1028933641
1115372300
129834009
135cc07c9
143bb2489
152817de6
hex1b97e09

28933641 has 27 divisors (see below), whose sum is σ = 46221357. Its totient is φ = 17427960.

The previous prime is 28933621. The next prime is 28933649. The reversal of 28933641 is 14633982.

The square root of 28933641 is 5379.

It is a perfect power (a square), and thus also a powerful number.

28933641 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 3 + 641 = 666.

It is not a de Polignac number, because 28933641 - 29 = 28933129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28933596 and 28933605.

It is not an unprimeable number, because it can be changed into a prime (28933649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177426 + ... + 177588.

Almost surely, 228933641 is an apocalyptic number.

28933641 is the 5379-th square number.

28933641 is the 2690-th centered octagonal number.

It is an amenable number.

28933641 is a deficient number, since it is larger than the sum of its proper divisors (17287716).

28933641 is a wasteful number, since it uses less digits than its factorization.

28933641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 28933641 is about 306.9971635158.

Multiplying 28933641 by its sum of digits (36), we get a square (1041611076 = 322742).

It can be divided in two parts, 289 and 33641, that added together give a triangular number (33930 = T260).

The spelling of 28933641 in words is "twenty-eight million, nine hundred thirty-three thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 121 163 363 489 1089 1467 1793 5379 16137 19723 26569 59169 79707 177507 239121 292259 876777 2630331 3214849 9644547 28933641