Search a number
-
+
28172034 = 23211263541
BaseRepresentation
bin110101101110…
…1111100000010
31222000021202200
41223131330002
524203001114
62443454030
7461313132
oct153357402
958007680
1028172034
11149a2080
129527316
135ab4c57
143a54ac2
152717409
hex1addf02

28172034 has 48 divisors (see below), whose sum is σ = 66965184. Its totient is φ = 8488800.

The previous prime is 28171999. The next prime is 28172051. The reversal of 28172034 is 43027182.

It is a junction number, because it is equal to n+sod(n) for n = 28171989 and 28172007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51804 + ... + 52344.

It is an arithmetic number, because the mean of its divisors is an integer number (1395108).

Almost surely, 228172034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28172034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33482592).

28172034 is an abundant number, since it is smaller than the sum of its proper divisors (38793150).

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

28172034 is a wasteful number, since it uses less digits than its factorization.

28172034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28172034 is about 5307.7334145565. The cubic root of 28172034 is about 304.2795285014.

It can be divided in two parts, 2817 and 2034, that added together give a triangular number (4851 = T98).

The spelling of 28172034 in words is "twenty-eight million, one hundred seventy-two thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 263 526 541 789 1082 1578 1623 2367 2893 3246 4734 4869 5786 5951 8679 9738 11902 17358 17853 26037 35706 52074 53559 107118 142283 284566 426849 853698 1280547 1565113 2561094 3130226 4695339 9390678 14086017 28172034