Search a number
-
+
28480848 = 243111719167
BaseRepresentation
bin110110010100…
…1010101010000
31222120222101020
41230221111100
524242341343
62454235440
7464040354
oct154512520
958528336
1028480848
11150930a0
129655b80
135b92696
143ad5464
152778b83
hex1b29550

28480848 has 160 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 7649280.

The previous prime is 28480819. The next prime is 28480853. The reversal of 28480848 is 84808482.

It is a super-2 number, since 2×284808482 = 1622317405598208, which contains 22 as substring.

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, 170461 + ... + 170627.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 228480848 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 28480848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

28480848 is an abundant number, since it is smaller than the sum of its proper divisors (61513392).

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

28480848 is a wasteful number, since it uses less digits than its factorization.

28480848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 28480848 is about 5336.7450754182. The cubic root of 28480848 is about 305.3872997971.

The spelling of 28480848 in words is "twenty-eight million, four hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 167 176 187 204 209 228 264 272 304 323 334 374 408 418 456 501 528 561 627 646 668 748 816 836 912 969 1002 1122 1254 1292 1336 1496 1672 1837 1938 2004 2244 2508 2584 2672 2839 2992 3173 3344 3553 3674 3876 4008 4488 5016 5168 5511 5678 6346 7106 7348 7752 8016 8517 8976 9519 10032 10659 11022 11356 12692 14212 14696 15504 17034 19038 21318 22044 22712 25384 28424 29392 31229 34068 34903 38076 42636 44088 45424 50768 53941 56848 62458 68136 69806 76152 85272 88176 93687 104709 107882 124916 136272 139612 152304 161823 170544 187374 209418 215764 249832 279224 323646 374748 418836 431528 499664 558448 593351 647292 749496 837672 863056 1186702 1294584 1498992 1675344 1780053 2373404 2589168 3560106 4746808 7120212 9493616 14240424 28480848