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1480308864 = 27317213339
BaseRepresentation
bin101100000111011…
…1011100010000000
310211011110111000020
41120032323202000
511012424340424
6402520053440
751453263166
oct13016734200
93734414006
101480308864
1169a660a61
12353904280
131a78b9608
14100859236
1589e5a079
hex583bb880

1480308864 has 96 divisors (see below), whose sum is σ = 4177287600. Its totient is φ = 464375808.

The previous prime is 1480308811. The next prime is 1480308877. The reversal of 1480308864 is 4688030841.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104307 + ... + 117645.

Almost surely, 21480308864 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 1480308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088643800).

1480308864 is an abundant number, since it is smaller than the sum of its proper divisors (2696978736).

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

1480308864 is a wasteful number, since it uses less digits than its factorization.

1480308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1480308864 is about 38474.7821826193. The cubic root of 1480308864 is about 1139.6831129076.

The spelling of 1480308864 in words is "one billion, four hundred eighty million, three hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4624 6528 6936 9248 13339 13872 18496 26678 27744 36992 40017 53356 55488 80034 106712 110976 160068 213424 226763 320136 426848 453526 640272 680289 853696 907052 1280544 1360578 1707392 1814104 2561088 2721156 3628208 3854971 5122176 5442312 7256416 7709942 10884624 11564913 14512832 15419884 21769248 23129826 29025664 30839768 43538496 46259652 61679536 87076992 92519304 123359072 185038608 246718144 370077216 493436288 740154432 1480308864