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1328463808 = 26723229563
BaseRepresentation
bin100111100101110…
…1011111111000000
310102120201221202021
41033023223333000
510210041320213
6335453331224
744630520220
oct11713537700
93376657667
101328463808
11621979581
12310a96b14
131822c2979
14c8610080
157b963d8d
hex4f2ebfc0

1328463808 has 112 divisors (see below), whose sum is σ = 3163092480. Its totient is φ = 541246464.

The previous prime is 1328463803. The next prime is 1328463809. The reversal of 1328463808 is 8083648231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328463803) 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, 2359335 + ... + 2359897.

Almost surely, 21328463808 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 1328463808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581546240).

1328463808 is an abundant number, since it is smaller than the sum of its proper divisors (1834628672).

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

1328463808 is a wasteful number, since it uses less digits than its factorization.

1328463808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 1328463808 is about 36448.0974537767. The cubic root of 1328463808 is about 1099.3008802771.

The spelling of 1328463808 in words is "one billion, three hundred twenty-eight million, four hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 229 322 368 448 458 563 644 736 916 1126 1288 1472 1603 1832 2252 2576 3206 3664 3941 4504 5152 5267 6412 7328 7882 9008 10304 10534 12824 12949 14656 15764 18016 21068 25648 25898 31528 36032 36869 42136 51296 51796 63056 73738 84272 90643 102592 103592 126112 128927 147476 168544 181286 207184 252224 257854 294952 337088 362572 414368 515708 589904 725144 828736 902489 1031416 1179808 1450288 1804978 2062832 2359616 2900576 2965321 3609956 4125664 5801152 5930642 7219912 8251328 11861284 14439824 20757247 23722568 28879648 41514494 47445136 57759296 83028988 94890272 166057976 189780544 332115952 664231904 1328463808