Search a number
-
+
1383489456 = 2431071671613
BaseRepresentation
bin101001001110110…
…0101111110110000
310120102021112202020
41102131211332300
510313133130311
6345140551440
746166315646
oct12235457660
93512245666
101383489456
1164aa42118
123273b2580
1319081a71b
14d1a55196
15816d2c06
hex52765fb0

1383489456 has 80 divisors (see below), whose sum is σ = 3631267584. Its totient is φ = 453836032.

The previous prime is 1383489449. The next prime is 1383489467. The reversal of 1383489456 is 6549843831.

It is a junction number, because it is equal to n+sod(n) for n = 1383489399 and 1383489408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856906 + ... + 858518.

Almost surely, 21383489456 is an apocalyptic number.

1383489456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383489456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815633792).

1383489456 is an abundant number, since it is smaller than the sum of its proper divisors (2247778128).

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

1383489456 is a wasteful number, since it uses less digits than its factorization.

1383489456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 1383489456 is about 37195.2880886813. The cubic root of 1383489456 is about 1114.2738825080.

The spelling of 1383489456 in words is "one billion, three hundred eighty-three million, four hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 167 214 321 334 428 501 642 668 856 1002 1284 1336 1613 1712 2004 2568 2672 3226 4008 4839 5136 6452 8016 9678 12904 17869 19356 25808 35738 38712 53607 71476 77424 107214 142952 172591 214428 269371 285904 345182 428856 517773 538742 690364 808113 857712 1035546 1077484 1380728 1616226 2071092 2154968 2761456 3232452 4142184 4309936 6464904 8284368 12929808 28822697 57645394 86468091 115290788 172936182 230581576 345872364 461163152 691744728 1383489456