Search a number
-
+
28541376 = 263383199
BaseRepresentation
bin110110011100…
…0000111000000
31222201001102000
41230320013000
524301311001
62455424000
7464412003
oct154700700
958631360
1028541376
1115124616
129685000
135bb40b6
143b0d53a
15278ba86
hex1b381c0

28541376 has 112 divisors (see below), whose sum is σ = 85344000. Its totient is φ = 9351936.

The previous prime is 28541369. The next prime is 28541407. The reversal of 28541376 is 67314582.

28541376 is a `hidden beast` number, since 285 + 4 + 1 + 376 = 666.

It is a super-2 number, since 2×285413762 = 1629220287946752, which contains 22 as substring.

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 28541376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143325 + ... + 143523.

It is an arithmetic number, because the mean of its divisors is an integer number (762000).

Almost surely, 228541376 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 28541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672000).

28541376 is an abundant number, since it is smaller than the sum of its proper divisors (56802624).

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

28541376 is a wasteful number, since it uses less digits than its factorization.

28541376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 28541376 is about 5342.4129379897. The cubic root of 28541376 is about 305.6034848794.

The spelling of 28541376 in words is "twenty-eight million, five hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 199 216 249 288 332 398 432 498 576 597 664 747 796 864 996 1194 1328 1494 1592 1728 1791 1992 2241 2388 2656 2988 3184 3582 3984 4482 4776 5312 5373 5976 6368 7164 7968 8964 9552 10746 11952 12736 14328 15936 16517 17928 19104 21492 23904 28656 33034 35856 38208 42984 47808 49551 57312 66068 71712 85968 99102 114624 132136 143424 148653 171936 198204 264272 297306 343872 396408 445959 528544 594612 792816 891918 1057088 1189224 1585632 1783836 2378448 3171264 3567672 4756896 7135344 9513792 14270688 28541376