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8490408608 = 251156942391
BaseRepresentation
bin1111110100001000…
…10101101010100000
3210220201012110001002
413322010111222200
5114342021033413
63522254531132
7420254165603
oct77204255240
923821173032
108490408608
113667683720
12178b506aa8
13a5401a626
145a788433a
1534a5bb958
hex1fa115aa0

8490408608 has 48 divisors (see below), whose sum is σ = 18267560640. Its totient is φ = 3852403200.

The previous prime is 8490408601. The next prime is 8490408643. The reversal of 8490408608 is 8068040948.

It is not an unprimeable number, because it can be changed into a prime (8490408601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179093 + ... + 221483.

It is an arithmetic number, because the mean of its divisors is an integer number (380574180).

Almost surely, 28490408608 is an apocalyptic number.

8490408608 is a gapful number since it is divisible by the number (88) 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 8490408608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133780320).

8490408608 is an abundant number, since it is smaller than the sum of its proper divisors (9777152032).

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

8490408608 is a wasteful number, since it uses less digits than its factorization.

8490408608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42981 (or 42973 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 8490408608 is about 92143.4132643240. The cubic root of 8490408608 is about 2040.0596394201.

The spelling of 8490408608 in words is "eight billion, four hundred ninety million, four hundred eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 569 1138 2276 4552 6259 9104 12518 18208 25036 42391 50072 84782 100144 169564 200288 339128 466301 678256 932602 1356512 1865204 3730408 7460816 14921632 24120479 48240958 96481916 192963832 265325269 385927664 530650538 771855328 1061301076 2122602152 4245204304 8490408608