Search a number
-
+
483483264 = 27311176733
BaseRepresentation
bin11100110100010…
…101111010000000
31020200202111100120
4130310111322000
51442232431024
6115550420240
714660353125
oct3464257200
91220674316
10483483264
11228a06150
12115b01680
1379221294
14482d674c
152c6a4479
hex1cd15e80

483483264 has 128 divisors (see below), whose sum is σ = 1483634880. Its totient is φ = 137871360.

The previous prime is 483483257. The next prime is 483483277. The reversal of 483483264 is 462384384.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 68442 + ... + 75174.

Almost surely, 2483483264 is an apocalyptic number.

483483264 is a gapful number since it is divisible by the number (44) 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 483483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741817440).

483483264 is an abundant number, since it is smaller than the sum of its proper divisors (1000151616).

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

483483264 is a wasteful number, since it uses less digits than its factorization.

483483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6766 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 483483264 is about 21988.2528637452. The cubic root of 483483264 is about 784.8629260166.

The spelling of 483483264 in words is "four hundred eighty-three million, four hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 6733 8976 11968 13466 17952 20199 23936 26932 35904 40398 53864 71808 74063 80796 107728 114461 148126 161592 215456 222189 228922 296252 323184 343383 430912 444378 457844 592504 646368 686766 861824 888756 915688 1185008 1259071 1292736 1373532 1777512 1831376 2370016 2518142 2585472 2747064 3555024 3662752 3777213 4740032 5036284 5494128 7110048 7325504 7554426 9480064 10072568 10988256 14220096 14651008 15108852 20145136 21976512 28440192 30217704 40290272 43953024 60435408 80580544 120870816 161161088 241741632 483483264