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8480433040 = 2452311340787
BaseRepresentation
bin1111110010111100…
…10010001110010000
3210220000102122010121
413321132102032100
5114331442324130
63521301040024
7420103330402
oct77136221620
923800378117
108480433040
113661a8a952
1217880b6014
13a51c36c21
145a6408b72
1534979ad7a
hex1f9792390

8480433040 has 80 divisors (see below), whose sum is σ = 20756850048. Its totient is φ = 3215894528.

The previous prime is 8480433019. The next prime is 8480433061. The reversal of 8480433040 is 403340848.

It is an interprime number because it is at equal distance from previous prime (8480433019) and next prime (8480433061).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8480432987 and 8480433005.

It is an unprimeable number.

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, 187527 + ... + 228313.

Almost surely, 28480433040 is an apocalyptic number.

8480433040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8480433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378425024).

8480433040 is an abundant number, since it is smaller than the sum of its proper divisors (12276417008).

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

8480433040 is a wasteful number, since it uses less digits than its factorization.

8480433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40936 (or 40930 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 8480433040 is about 92089.2666927042. The cubic root of 8480433040 is about 2039.2603559782.

Adding to 8480433040 its reverse (403340848), we get a palindrome (8883773888).

The spelling of 8480433040 in words is "eight billion, four hundred eighty million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 113 115 184 226 230 368 452 460 565 904 920 1130 1808 1840 2260 2599 4520 5198 9040 10396 12995 20792 25990 40787 41584 51980 81574 103960 163148 203935 207920 326296 407870 652592 815740 938101 1631480 1876202 3262960 3752404 4608931 4690505 7504808 9217862 9381010 15009616 18435724 18762020 23044655 36871448 37524040 46089310 73742896 75048080 92178620 106005413 184357240 212010826 368714480 424021652 530027065 848043304 1060054130 1696086608 2120108260 4240216520 8480433040