[go: up one dir, main page]

Search a number
-
+
28838580 = 22351941617
BaseRepresentation
bin110111000000…
…0101010110100
32000021011002120
41232000222310
524340313310
62510035540
7500060331
oct156005264
960234076
1028838580
1115307941
1297a8bb0
135c89464
143b89988
1527e9b70
hex1b80ab4

28838580 has 96 divisors (see below), whose sum is σ = 87212160. Its totient is φ = 7096320.

The previous prime is 28838569. The next prime is 28838597. The reversal of 28838580 is 8583882.

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 31 ways as a sum of consecutive naturals, for example, 46432 + ... + 47048.

It is an arithmetic number, because the mean of its divisors is an integer number (908460).

Almost surely, 228838580 is an apocalyptic number.

28838580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28838580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43606080).

28838580 is an abundant number, since it is smaller than the sum of its proper divisors (58373580).

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

28838580 is a wasteful number, since it uses less digits than its factorization.

28838580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 28838580 is about 5370.1564223028. The cubic root of 28838580 is about 306.6605832652.

The spelling of 28838580 in words is "twenty-eight million, eight hundred thirty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 617 779 820 1140 1230 1234 1558 1851 2337 2460 2468 3085 3116 3702 3895 4674 6170 7404 7790 9255 9348 11685 11723 12340 15580 18510 23370 23446 25297 35169 37020 46740 46892 50594 58615 70338 75891 101188 117230 126485 140676 151782 175845 234460 252970 303564 351690 379455 480643 505940 703380 758910 961286 1441929 1517820 1922572 2403215 2883858 4806430 5767716 7209645 9612860 14419290 28838580