Search a number
-
+
26853984 = 253331081
BaseRepresentation
bin110011001110…
…0001001100000
31212112022202000
41212130021200
523333311414
62355324000
7444153333
oct146341140
955468660
1026853984
1114181883
128bb0600
135743041
1437d061a
152556b09
hex199c260

26853984 has 48 divisors (see below), whose sum is σ = 78326640. Its totient is φ = 8951040.

The previous prime is 26853979. The next prime is 26853989. The reversal of 26853984 is 48935862.

It is an interprime number because it is at equal distance from previous prime (26853979) and next prime (26853989).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×268539842 = 1442272913344512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26853989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14677 + ... + 16404.

It is an arithmetic number, because the mean of its divisors is an integer number (1631805).

Almost surely, 226853984 is an apocalyptic number.

26853984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26853984 is an abundant number, since it is smaller than the sum of its proper divisors (51472656).

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

26853984 is a wasteful number, since it uses less digits than its factorization.

26853984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31100 (or 31086 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 26853984 is about 5182.0829788802. The cubic root of 26853984 is about 299.4582221783.

The spelling of 26853984 in words is "twenty-six million, eight hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 31081 62162 93243 124324 186486 248648 279729 372972 497296 559458 745944 839187 994592 1118916 1491888 1678374 2237832 2983776 3356748 4475664 6713496 8951328 13426992 26853984