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1332983808 = 21132135563
BaseRepresentation
bin100111101110011…
…1011100000000000
310102220020121000200
41033130323200000
510212220440213
6340134245200
745014114112
oct11734734000
93386217020
101332983808
11624486512
123124b6800
13183216120
14c90693b2
157c058273
hex4f73b800

1332983808 has 144 divisors (see below), whose sum is σ = 4146793560. Its totient is φ = 410075136.

The previous prime is 1332983807. The next prime is 1332983863. The reversal of 1332983808 is 8083892331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332983801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236835 + ... + 242397.

Almost surely, 21332983808 is an apocalyptic number.

1332983808 is a gapful number since it is divisible by the number (18) 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 1332983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073396780).

1332983808 is an abundant number, since it is smaller than the sum of its proper divisors (2813809752).

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

1332983808 is a wasteful number, since it uses less digits than its factorization.

1332983808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1332983808 is about 36510.0507805727. The cubic root of 1332983808 is about 1100.5462322912.

The spelling of 1332983808 in words is "one billion, three hundred thirty-two million, nine hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 5563 6144 6656 7488 9216 9984 11126 13312 14976 16689 18432 19968 22252 26624 29952 33378 39936 44504 50067 59904 66756 72319 79872 89008 100134 119808 133512 144638 178016 200268 216957 239616 267024 289276 356032 400536 433914 534048 578552 650871 712064 801072 867828 1068096 1157104 1301742 1424128 1602144 1735656 2136192 2314208 2603484 2848256 3204288 3471312 4272384 4628416 5206968 5696512 6408576 6942624 8544768 9256832 10413936 11393024 12817152 13885248 17089536 18513664 20827872 25634304 27770496 34179072 37027328 41655744 51268608 55540992 74054656 83311488 102537216 111081984 148109312 166622976 222163968 333245952 444327936 666491904 1332983808