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8424324480 = 2735111361503
BaseRepresentation
bin1111101100010000…
…01111110110000000
3210202002212000122210
413312020033312000
5114223111340410
63511534302120
7415522401525
oct76610176600
923662760583
108424324480
113633347740
121771357940
13a434202b0
1459cba114c
153448b6220
hex1f620fd80

8424324480 has 512 divisors, whose sum is σ = 32127943680. Its totient is φ = 1850572800.

The previous prime is 8424324457. The next prime is 8424324497. The reversal of 8424324480 is 844234248.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16747909 + ... + 16748411.

It is an arithmetic number, because the mean of its divisors is an integer number (62749890).

Almost surely, 28424324480 is an apocalyptic number.

8424324480 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 8424324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

8424324480 is an abundant number, since it is smaller than the sum of its proper divisors (23703619200).

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

8424324480 is a wasteful number, since it uses less digits than its factorization.

8424324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The square root of 8424324480 is about 91784.1188877466. The cubic root of 8424324480 is about 2034.7529903612.

The spelling of 8424324480 in words is "eight billion, four hundred twenty-four million, three hundred twenty-four thousand, four hundred eighty".