Search a number
-
+
28842696 = 2333671993
BaseRepresentation
bin110111000000…
…1101011001000
32000021100202000
41232001223020
524340431241
62510111000
7500105331
oct156015310
960240660
1028842696
111530aa43
1297ab460
135c8b2ac
143b8b288
1527eaeb6
hex1b81ac8

28842696 has 64 divisors (see below), whose sum is σ = 81355200. Its totient is φ = 9465984.

The previous prime is 28842677. The next prime is 28842701. The reversal of 28842696 is 69624882.

It is a super-2 number, since 2×288426962 = 1663802225096832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 13476 + ... + 15468.

It is an arithmetic number, because the mean of its divisors is an integer number (1271175).

Almost surely, 228842696 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 28842696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40677600).

28842696 is an abundant number, since it is smaller than the sum of its proper divisors (52512504).

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

28842696 is a wasteful number, since it uses less digits than its factorization.

28842696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2065 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 28842696 is about 5370.5396376901. The cubic root of 28842696 is about 306.6751719968.

It can be divided in two parts, 28 and 842696, that added together give a square (842724 = 9182).

The spelling of 28842696 in words is "twenty-eight million, eight hundred forty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 1993 2412 3618 3986 4824 5979 7236 7972 11958 14472 15944 17937 23916 35874 47832 53811 71748 107622 133531 143496 215244 267062 400593 430488 534124 801186 1068248 1201779 1602372 2403558 3204744 3605337 4807116 7210674 9614232 14421348 28842696