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88545040 = 2452833911
BaseRepresentation
bin1010100011100…
…01011100010000
320011121112221221
411101301130100
5140131420130
612441454424
72123422543
oct521613420
9204545857
1088545040
1145a88221
12257a1414
131546291c
14ba8c85a
157b9087a
hex5471710

88545040 has 40 divisors (see below), whose sum is σ = 206647488. Its totient is φ = 35283840.

The previous prime is 88545013. The next prime is 88545047. The reversal of 88545040 is 4054588.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 88544987 and 88545005.

It is not an unprimeable number, because it can be changed into a prime (88545047) 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 7 ways as a sum of consecutive naturals, for example, 20685 + ... + 24595.

Almost surely, 288545040 is an apocalyptic number.

88545040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88545040 is an abundant number, since it is smaller than the sum of its proper divisors (118102448).

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

88545040 is a wasteful number, since it uses less digits than its factorization.

88545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 88545040 is about 9409.8374056091. The cubic root of 88545040 is about 445.7124303326.

The spelling of 88545040 in words is "eighty-eight million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 1132 1415 2264 2830 3911 4528 5660 7822 11320 15644 19555 22640 31288 39110 62576 78220 156440 312880 1106813 2213626 4427252 5534065 8854504 11068130 17709008 22136260 44272520 88545040