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96277536 = 2532334297
BaseRepresentation
bin1011011110100…
…01010000100000
320201011101221200
411233101100200
5144121340121
613315321200
72246226345
oct557212040
9221141850
1096277536
114a389813
12282b0200
1316c3c374
14cb027cc
1586bba26
hex5bd1420

96277536 has 36 divisors (see below), whose sum is σ = 273790062. Its totient is φ = 32092416.

The previous prime is 96277523. The next prime is 96277547. The reversal of 96277536 is 63577269.

96277536 is a `hidden beast` number, since 96 + 27 + 7 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79923600 + 16353936 = 8940^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 96277491 and 96277500.

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 5 ways as a sum of consecutive naturals, for example, 166861 + ... + 167436.

Almost surely, 296277536 is an apocalyptic number.

96277536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96277536 is an abundant number, since it is smaller than the sum of its proper divisors (177512526).

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

96277536 is a wasteful number, since it uses less digits than its factorization.

96277536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334313 (or 334302 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 96277536 is about 9812.1116993234. Note that the first 3 decimals coincide. The cubic root of 96277536 is about 458.3265216692.

The spelling of 96277536 in words is "ninety-six million, two hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 334297 668594 1002891 1337188 2005782 2674376 3008673 4011564 5348752 6017346 8023128 10697504 12034692 16046256 24069384 32092512 48138768 96277536