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88535680 = 275138337
BaseRepresentation
bin1010100011011…
…11001010000000
320011121002010021
411101233022000
5140131120210
612441343224
72123353342
oct521571200
9204532107
1088535680
1145a81192
1225797b14
131545b59c
14ba89292
157b8cbda
hex546f280

88535680 has 32 divisors (see below), whose sum is σ = 211657140. Its totient is φ = 35414016.

The previous prime is 88535669. The next prime is 88535693. The reversal of 88535680 is 8653588.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 5798464 = 9096^2 + 2408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 68529 + ... + 69808.

Almost surely, 288535680 is an apocalyptic number.

88535680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88535680 is an abundant number, since it is smaller than the sum of its proper divisors (123121460).

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

88535680 is a wasteful number, since it uses less digits than its factorization.

88535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138356 (or 138344 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 88535680 is about 9409.3400406192. The cubic root of 88535680 is about 445.6967245202.

The spelling of 88535680 in words is "eighty-eight million, five hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 138337 276674 553348 691685 1106696 1383370 2213392 2766740 4426784 5533480 8853568 11066960 17707136 22133920 44267840 88535680