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8480328576 = 27374329723
BaseRepresentation
bin1111110010111011…
…11000101110000000
3210220000020022211120
413321131320232000
5114331431003301
63521254512240
7420102414006
oct77135705600
923800208746
108480328576
113661a19415
121788065680
13a51bcb505
145a63bca76
15349779e36
hex1f9778b80

8480328576 has 64 divisors (see below), whose sum is σ = 22556949120. Its totient is φ = 2822876672.

The previous prime is 8480328559. The next prime is 8480328583. The reversal of 8480328576 is 6758230848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270451 + ... + 300173.

It is an arithmetic number, because the mean of its divisors is an integer number (352452330).

Almost surely, 28480328576 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 8480328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278474560).

8480328576 is an abundant number, since it is smaller than the sum of its proper divisors (14076620544).

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

8480328576 is a wasteful number, since it uses less digits than its factorization.

8480328576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30483 (or 30471 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 8480328576 is about 92088.6995021648. The cubic root of 8480328576 is about 2039.2519825784.

The spelling of 8480328576 in words is "eight billion, four hundred eighty million, three hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 743 1486 2229 2972 4458 5944 8916 11888 17832 23776 29723 35664 47552 59446 71328 89169 95104 118892 142656 178338 237784 285312 356676 475568 713352 951136 1426704 1902272 2853408 3804544 5706816 11413632 22084189 44168378 66252567 88336756 132505134 176673512 265010268 353347024 530020536 706694048 1060041072 1413388096 2120082144 2826776192 4240164288 8480328576