Search a number
-
+
1382708992 = 2875211481
BaseRepresentation
bin101001001101010…
…0111011100000000
310120100210220011011
41102122213130000
510312433141432
6345112130304
746156555360
oct12232473400
93510726134
101382708992
1164a559805
12327096994
13190606402
14d18d09a0
15815cb847
hex526a7700

1382708992 has 72 divisors (see below), whose sum is σ = 3162493152. Its totient is φ = 591052800.

The previous prime is 1382708941. The next prime is 1382709001. The reversal of 1382708992 is 2998072831.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 932892 + ... + 934372.

It is an arithmetic number, because the mean of its divisors is an integer number (43923516).

Almost surely, 21382708992 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 1382708992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581246576).

1382708992 is an abundant number, since it is smaller than the sum of its proper divisors (1779784160).

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

1382708992 is an equidigital number, since it uses as much as digits as its factorization.

1382708992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 1382708992 is about 37184.7951722206. The cubic root of 1382708992 is about 1114.0643123687.

The spelling of 1382708992 in words is "one billion, three hundred eighty-two million, seven hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 521 896 1042 1481 1792 2084 2962 3647 4168 5924 7294 8336 10367 11848 14588 16672 20734 23696 29176 33344 41468 47392 58352 66688 82936 94784 116704 133376 165872 189568 233408 331744 379136 466816 663488 771601 933632 1326976 1543202 2653952 3086404 5401207 6172808 10802414 12345616 21604828 24691232 43209656 49382464 86419312 98764928 172838624 197529856 345677248 691354496 1382708992