Search a number
-
+
28427076 = 22322973373
BaseRepresentation
bin110110001110…
…0001101000100
31222111020121200
41230130031010
524234131301
62453142500
7463424526
oct154341504
958436550
1028427076
1115056757
12962aa30
135b74072
143abda16
152767c86
hex1b1c344

28427076 has 72 divisors (see below), whose sum is σ = 75555480. Its totient is φ = 8999424.

The previous prime is 28427053. The next prime is 28427081. The reversal of 28427076 is 67072482.

It can be written as a sum of positive squares in 4 ways, for example, as 5616900 + 22810176 = 2370^2 + 4776^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28427076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76026 + ... + 76398.

Almost surely, 228427076 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 28427076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777740).

28427076 is an abundant number, since it is smaller than the sum of its proper divisors (47128404).

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

28427076 is a wasteful number, since it uses less digits than its factorization.

28427076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 28427076 is about 5331.7047930282. The cubic root of 28427076 is about 305.1949877420.

The spelling of 28427076 in words is "twenty-eight million, four hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 73 87 116 146 174 219 261 292 348 373 438 522 657 746 876 1044 1119 1314 1492 2117 2238 2628 3357 4234 4476 6351 6714 8468 10817 12702 13428 19053 21634 25404 27229 32451 38106 43268 54458 64902 76212 81687 97353 108916 129804 163374 194706 245061 326748 389412 490122 789641 980244 1579282 2368923 3158564 4737846 7106769 9475692 14213538 28427076