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105441552 = 2432732233
BaseRepresentation
bin1100100100011…
…10100100010000
321100101222121200
412102032210100
5203443112202
614243551200
72420144526
oct622164420
9240358550
10105441552
1154578887
122b38b500
1318aca568
141000a316
1593cbe1c
hex648e910

105441552 has 30 divisors (see below), whose sum is σ = 295090302. Its totient is φ = 35147136.

The previous prime is 105441541. The next prime is 105441559. The reversal of 105441552 is 255144501.

105441552 is a `hidden beast` number, since 105 + 4 + 4 + 1 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 665856 = 10236^2 + 816^2 .

It is a super-2 number, since 2×1054415522 = 22235841776337408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105441559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365973 + ... + 366260.

Almost surely, 2105441552 is an apocalyptic number.

105441552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105441552 is an abundant number, since it is smaller than the sum of its proper divisors (189648750).

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

105441552 is a wasteful number, since it uses less digits than its factorization.

105441552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732247 (or 732238 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 105441552 is about 10268.4736937872. The cubic root of 105441552 is about 472.4297770839.

The spelling of 105441552 in words is "one hundred five million, four hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 732233 1464466 2196699 2928932 4393398 5857864 6590097 8786796 11715728 13180194 17573592 26360388 35147184 52720776 105441552