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808929312 = 253157191281
BaseRepresentation
bin110000001101110…
…100100000100000
32002101010212101220
4300031310200200
53124041214222
6212134055040
726021533332
oct6015644040
92071125356
10808929312
1138568a624
121a6aaa480
13cb78b2c9
1479611452
154b03cb5c
hex30374820

808929312 has 96 divisors (see below), whose sum is σ = 2155797504. Its totient is φ = 265574400.

The previous prime is 808929299. The next prime is 808929337. The reversal of 808929312 is 213929808.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2878612 + ... + 2878892.

It is an arithmetic number, because the mean of its divisors is an integer number (22456224).

Almost surely, 2808929312 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 808929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077898752).

808929312 is an abundant number, since it is smaller than the sum of its proper divisors (1346868192).

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

808929312 is a wasteful number, since it uses less digits than its factorization.

808929312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 808929312 is about 28441.6826506450. The cubic root of 808929312 is about 931.7588451815.

It can be divided in two parts, 8089 and 29312, that added together give a triangular number (37401 = T273).

The spelling of 808929312 in words is "eight hundred eight million, nine hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 191 281 314 382 471 562 573 628 764 843 942 1124 1146 1256 1528 1686 1884 2248 2292 2512 3056 3372 3768 4496 4584 5024 6112 6744 7536 8992 9168 13488 15072 18336 26976 29987 44117 53671 59974 88234 89961 107342 119948 132351 161013 176468 179922 214684 239896 264702 322026 352936 359844 429368 479792 529404 644052 705872 719688 858736 959584 1058808 1288104 1411744 1439376 1717472 2117616 2576208 2878752 4235232 5152416 8426347 16852694 25279041 33705388 50558082 67410776 101116164 134821552 202232328 269643104 404464656 808929312