Search a number
-
+
28152124 = 22711137989
BaseRepresentation
bin110101101100…
…1000100111100
31221222021110021
41223121010330
524201331444
62443221524
7461201110
oct153310474
957867407
1028152124
1114989120
1295178a4
135aa8b80
143a4b740
152711584
hex1ad913c

28152124 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 9884160.

The previous prime is 28152121. The next prime is 28152133. The reversal of 28152124 is 42125182.

28152124 = T197 + T198 + ... + T560.

It is a super-2 number, since 2×281521242 = 1585084171422752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28152121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316272 + ... + 316360.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 228152124 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 28152124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

28152124 is an abundant number, since it is smaller than the sum of its proper divisors (39585476).

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

28152124 is a wasteful number, since it uses less digits than its factorization.

28152124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 28152124 is about 5305.8575178759. The cubic root of 28152124 is about 304.2078305291.

The spelling of 28152124 in words is "twenty-eight million, one hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 89 91 143 154 158 178 182 286 308 316 356 364 553 572 623 869 979 1001 1027 1106 1157 1246 1738 1958 2002 2054 2212 2314 2492 3476 3916 4004 4108 4628 6083 6853 7031 7189 8099 11297 12166 12727 13706 14062 14378 16198 22594 24332 25454 27412 28124 28756 32396 45188 49217 50908 77341 79079 89089 91403 98434 154682 158158 178178 182806 196868 309364 316316 356356 365612 541387 639821 1005433 1082774 1279642 2010866 2165548 2559284 4021732 7038031 14076062 28152124