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949480480 = 255132389223
BaseRepresentation
bin111000100101111…
…110110000100000
32110011121121100201
4320211332300200
53421031333410
6234114354544
732346310444
oct7045766040
92404547321
10949480480
11447a58813
12225b8ba54
1312192c490
149015a824
155855283a
hex3897ec20

949480480 has 192 divisors, whose sum is σ = 2560481280. Its totient is φ = 330080256.

The previous prime is 949480453. The next prime is 949480489. The reversal of 949480480 is 84084949.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 949480480.

It is not an unprimeable number, because it can be changed into a prime (949480489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257649 + ... + 4257871.

It is an arithmetic number, because the mean of its divisors is an integer number (13335840).

Almost surely, 2949480480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280240640).

949480480 is an abundant number, since it is smaller than the sum of its proper divisors (1611000800).

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

949480480 is a wasteful number, since it uses less digits than its factorization.

949480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 949480480 is about 30813.6411350558. The cubic root of 949480480 is about 982.8683423162.

The spelling of 949480480 in words is "nine hundred forty-nine million, four hundred eighty thousand, four hundred eighty".