[go: up one dir, main page]

Search a number
-
+
28889664 = 2631753167
BaseRepresentation
bin110111000110…
…1001001000000
32000100202011120
41232031021000
524343432124
62511112240
7500362266
oct156151100
960322146
1028889664
1115342261
129812680
135ca679b
143ba0436
152809d79
hex1b8d240

28889664 has 112 divisors (see below), whose sum is σ = 82954368. Its totient is φ = 8839168.

The previous prime is 28889639. The next prime is 28889683. The reversal of 28889664 is 46698882.

It is a happy number.

It is a super-2 number, since 2×288896642 = 1669225372065792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 172909 + ... + 173075.

It is an arithmetic number, because the mean of its divisors is an integer number (740664).

Almost surely, 228889664 is an apocalyptic number.

28889664 is a gapful number since it is divisible by the number (24) 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 28889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184).

28889664 is an abundant number, since it is smaller than the sum of its proper divisors (54064704).

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

28889664 is a wasteful number, since it uses less digits than its factorization.

28889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 28889664 is about 5374.9106039078. The cubic root of 28889664 is about 306.8415469664.

The spelling of 28889664 in words is "twenty-eight million, eight hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 136 159 167 192 204 212 272 318 334 408 424 501 544 636 668 816 848 901 1002 1088 1272 1336 1632 1696 1802 2004 2544 2672 2703 2839 3264 3392 3604 4008 5088 5344 5406 5678 7208 8016 8517 8851 10176 10688 10812 11356 14416 16032 17034 17702 21624 22712 26553 28832 32064 34068 35404 43248 45424 53106 57664 68136 70808 86496 90848 106212 136272 141616 150467 172992 181696 212424 272544 283232 300934 424848 451401 545088 566464 601868 849696 902802 1203736 1699392 1805604 2407472 3611208 4814944 7222416 9629888 14444832 28889664