Search a number
-
+
28146924 = 223213137439
BaseRepresentation
bin110101101011…
…1110011101100
31221222000022200
41223113303230
524201200144
62443141500
7461150001
oct153276354
957860280
1028146924
1114985223
129514890
135aa66b0
143a498a8
15270ec69
hex1ad7cec

28146924 has 72 divisors (see below), whose sum is σ = 77357280. Its totient is φ = 8577792.

The previous prime is 28146893. The next prime is 28146929. The reversal of 28146924 is 42964182.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28146929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63897 + ... + 64335.

Almost surely, 228146924 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 28146924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38678640).

28146924 is an abundant number, since it is smaller than the sum of its proper divisors (49210356).

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

28146924 is a wasteful number, since it uses less digits than its factorization.

28146924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 594 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28146924 is about 5305.3674707790. The cubic root of 28146924 is about 304.1890992233.

The spelling of 28146924 in words is "twenty-eight million, one hundred forty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 439 468 548 822 878 1233 1317 1644 1756 1781 2466 2634 3562 3951 4932 5268 5343 5707 7124 7902 10686 11414 15804 16029 17121 21372 22828 32058 34242 51363 60143 64116 68484 102726 120286 180429 205452 240572 360858 541287 721716 781859 1082574 1563718 2165148 2345577 3127436 4691154 7036731 9382308 14073462 28146924