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1383776416 = 251123170921
BaseRepresentation
bin101001001111010…
…1100000010100000
310120102211010101101
41102132230002200
510313221321131
6345151044144
746201622401
oct12236540240
93512733341
101383776416
11650118780
12327510654
131908bb219
14d1acb9a8
158173cc61
hex527ac0a0

1383776416 has 48 divisors (see below), whose sum is σ = 3101208768. Its totient is φ = 601638400.

The previous prime is 1383776413. The next prime is 1383776423. The reversal of 1383776416 is 6146773831.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (1383776413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77365 + ... + 93556.

It is an arithmetic number, because the mean of its divisors is an integer number (64608516).

Almost surely, 21383776416 is an apocalyptic number.

1383776416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1383776416 is an abundant number, since it is smaller than the sum of its proper divisors (1717432352).

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

1383776416 is a wasteful number, since it uses less digits than its factorization.

1383776416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170965 (or 170957 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 1383776416 is about 37199.1453665269. The cubic root of 1383776416 is about 1114.3509171701.

The spelling of 1383776416 in words is "one billion, three hundred eighty-three million, seven hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 170921 341842 683684 1367368 1880131 2734736 3760262 3931183 5469472 7520524 7862366 15041048 15724732 30082096 31449464 43243013 60164192 62898928 86486026 125797856 172972052 345944104 691888208 1383776416