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8488404040 = 235976413413
BaseRepresentation
bin1111110011111001…
…01100010001001000
3210220120102121021211
413321330230101020
5114341012412130
63522143542504
7420231146434
oct77174542110
923816377254
108488404040
113666534656
12178a8baa34
13a537980ac
145a74c19c4
1534a322a2a
hex1f9f2c448

8488404040 has 64 divisors (see below), whose sum is σ = 19331570160. Its totient is φ = 3354132480.

The previous prime is 8488404037. The next prime is 8488404049. The reversal of 8488404040 is 404048848.

It can be written as a sum of positive squares in 8 ways, for example, as 7348261284 + 1140142756 = 85722^2 + 33766^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8488403984 and 8488404002.

It is not an unprimeable number, because it can be changed into a prime (8488404049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2485374 + ... + 2488786.

Almost surely, 28488404040 is an apocalyptic number.

It is an amenable number.

8488404040 is an abundant number, since it is smaller than the sum of its proper divisors (10843166120).

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

8488404040 is a wasteful number, since it uses less digits than its factorization.

8488404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8488404040 is about 92132.5351870880. The cubic root of 8488404040 is about 2039.8990754889.

The spelling of 8488404040 in words is "eight billion, four hundred eighty-eight million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 641 776 970 1282 1940 2564 3205 3413 3880 5128 6410 6826 12820 13652 17065 25640 27304 34130 62177 68260 124354 136520 248708 310885 331061 497416 621770 662122 1243540 1324244 1655305 2187733 2487080 2648488 3310610 4375466 6621220 8750932 10938665 13242440 17501864 21877330 43754660 87509320 212210101 424420202 848840404 1061050505 1697680808 2122101010 4244202020 8488404040