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104881832 = 23112971117
BaseRepresentation
bin1100100000001…
…01111010101000
321022100112211022
412100011322220
5203322204312
614223552012
72412323636
oct620057250
9238315738
10104881832
1154226300
122b15b608
1318962873
14dd02356
15931b172
hex6405ea8

104881832 has 48 divisors (see below), whose sum is σ = 218580180. Its totient is φ = 47139840.

The previous prime is 104881831. The next prime is 104881849. The reversal of 104881832 is 238188401.

It can be written as a sum of positive squares in 2 ways, for example, as 94984516 + 9897316 = 9746^2 + 3146^2 .

It is a super-2 number, since 2×1048818322 = 22000397367352448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104881792 and 104881801.

It is not an unprimeable number, because it can be changed into a prime (104881831) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93338 + ... + 94454.

Almost surely, 2104881832 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 104881832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109290090).

104881832 is an abundant number, since it is smaller than the sum of its proper divisors (113698348).

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

104881832 is a wasteful number, since it uses less digits than its factorization.

104881832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 104881832 is about 10241.1831347750. The cubic root of 104881832 is about 471.5923536747.

The spelling of 104881832 in words is "one hundred four million, eight hundred eighty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 97 121 194 242 388 484 776 968 1067 1117 2134 2234 4268 4468 8536 8936 11737 12287 23474 24574 46948 49148 93896 98296 108349 135157 216698 270314 433396 540628 866792 1081256 1191839 2383678 4767356 9534712 13110229 26220458 52440916 104881832