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88496960 = 265276553
BaseRepresentation
bin1010100011001…
…01101101000000
320011112010000012
411101211231000
5140123400320
612440444052
72123132426
oct521455500
9204463005
1088496960
1145a55092
1225779628
1315446a86
14ba79116
157b814c5
hex5465b40

88496960 has 28 divisors (see below), whose sum is σ = 210734148. Its totient is φ = 35398656.

The previous prime is 88496959. The next prime is 88496963. The reversal of 88496960 is 6969488.

It can be written as a sum of positive squares in 2 ways, for example, as 36772096 + 51724864 = 6064^2 + 7192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88496899 and 88496908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88496963) 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 3 ways as a sum of consecutive naturals, for example, 137957 + ... + 138596.

Almost surely, 288496960 is an apocalyptic number.

88496960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88496960 is an abundant number, since it is smaller than the sum of its proper divisors (122237188).

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

88496960 is a wasteful number, since it uses less digits than its factorization.

88496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276570 (or 276560 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 88496960 is about 9407.2822855488. The cubic root of 88496960 is about 445.6317417037.

The spelling of 88496960 in words is "eighty-eight million, four hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 276553 553106 1106212 1382765 2212424 2765530 4424848 5531060 8849696 11062120 17699392 22124240 44248480 88496960