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88241040 = 24325122557
BaseRepresentation
bin1010100001001…
…11001110010000
320011001002221200
411100213032100
5140042203130
612431151200
72121015336
oct520471620
9204032850
1088241040
114589a888
1225675500
1315387444
14ba0db56
157b30760
hex5427390

88241040 has 60 divisors (see below), whose sum is σ = 296345244. Its totient is φ = 23530752.

The previous prime is 88241039. The next prime is 88241057. The reversal of 88241040 is 4014288.

It can be written as a sum of positive squares in 2 ways, for example, as 43243776 + 44997264 = 6576^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×882410402 = 15572962280563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88240995 and 88241013.

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 11 ways as a sum of consecutive naturals, for example, 60559 + ... + 61998.

Almost surely, 288241040 is an apocalyptic number.

88241040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88241040 is an abundant number, since it is smaller than the sum of its proper divisors (208104204).

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

88241040 is a wasteful number, since it uses less digits than its factorization.

88241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122576 (or 122567 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 88241040 is about 9393.6702092420. The cubic root of 88241040 is about 445.2017601275.

The spelling of 88241040 in words is "eighty-eight million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 122557 245114 367671 490228 612785 735342 980456 1103013 1225570 1470684 1838355 1960912 2206026 2451140 2941368 3676710 4412052 4902280 5515065 5882736 7353420 8824104 9804560 11030130 14706840 17648208 22060260 29413680 44120520 88241040