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1332827808 = 253131956209
BaseRepresentation
bin100111101110001…
…0101011010100000
310102212221200000220
41033130111122200
510212200442213
6340131043040
745012564234
oct11734253240
93385850026
101332827808
1162438a294
12312440480
13183190110
14c90285c4
157c026e23
hex4f7156a0

1332827808 has 96 divisors (see below), whose sum is σ = 3966177600. Its totient is φ = 388509696.

The previous prime is 1332827767. The next prime is 1332827809. The reversal of 1332827808 is 8087282331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1332827808.

It is not an unprimeable number, because it can be changed into a prime (1332827809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4393 + ... + 51816.

It is an arithmetic number, because the mean of its divisors is an integer number (41314350).

Almost surely, 21332827808 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 1332827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983088800).

1332827808 is an abundant number, since it is smaller than the sum of its proper divisors (2633349792).

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

1332827808 is a wasteful number, since it uses less digits than its factorization.

1332827808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56254 (or 56246 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1332827808 is about 36507.9143200485. The cubic root of 1332827808 is about 1100.5032980587.

The spelling of 1332827808 in words is "one billion, three hundred thirty-two million, eight hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 56209 112418 168627 224836 337254 449672 674508 730717 899344 1067971 1349016 1461434 1798688 2135942 2192151 2698032 2922868 3203913 4271884 4384302 5396064 5845736 6407826 8543768 8768604 11691472 12815652 13883623 17087536 17537208 23382944 25631304 27767246 34175072 35074416 41650869 51262608 55534492 70148832 83301738 102525216 111068984 166603476 222137968 333206952 444275936 666413904 1332827808