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1377939808 = 25741592543
BaseRepresentation
bin101001000100001…
…1011000101100000
310120000211121001201
41102020123011200
510310223033213
6344422010544
746101203140
oct12210330540
93500747051
101377939808
116478a1633
12325576a54
1318c6266cb
14d100c920
1580e886dd
hex5221b160

1377939808 has 96 divisors (see below), whose sum is σ = 3231083520. Its totient is φ = 566154240.

The previous prime is 1377939799. The next prime is 1377939809. The reversal of 1377939808 is 8089397731.

It is a super-2 number, since 2×13779398082 = 3797436228942153728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377939809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540585 + ... + 543127.

It is an arithmetic number, because the mean of its divisors is an integer number (33657120).

Almost surely, 21377939808 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 1377939808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615541760).

1377939808 is an abundant number, since it is smaller than the sum of its proper divisors (1853143712).

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

1377939808 is a wasteful number, since it uses less digits than its factorization.

1377939808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The square root of 1377939808 is about 37120.6116328920. The cubic root of 1377939808 is about 1112.7819750337.

The spelling of 1377939808 in words is "one billion, three hundred seventy-seven million, nine hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 59 82 112 118 164 224 236 287 328 413 472 574 656 826 944 1148 1312 1652 1888 2296 2419 2543 3304 4592 4838 5086 6608 9184 9676 10172 13216 16933 17801 19352 20344 33866 35602 38704 40688 67732 71204 77408 81376 104263 135464 142408 150037 208526 270928 284816 300074 417052 541856 569632 600148 729841 834104 1050259 1200296 1459682 1668208 2100518 2400592 2919364 3336416 4201036 4801184 5838728 6151517 8402072 11677456 12303034 16804144 23354912 24606068 33608288 43060619 49212136 86121238 98424272 172242476 196848544 344484952 688969904 1377939808