Search a number
-
+
483978132 = 2233113071327
BaseRepresentation
bin11100110110001…
…110101110010100
31020201200122012000
4130312032232110
51442344300012
6120005155300
714664513651
oct3466165624
91221618160
10483978132
11229213a30
121160bbb30
13793655c1
14483c4c28
152c750ddc
hex1cd8eb94

483978132 has 96 divisors (see below), whose sum is σ = 1374320640. Its totient is φ = 146072160.

The previous prime is 483978113. The next prime is 483978137. The reversal of 483978132 is 231879384.

483978132 is a `hidden beast` number, since 483 + 97 + 81 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483978137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364053 + ... + 365379.

It is an arithmetic number, because the mean of its divisors is an integer number (14315840).

Almost surely, 2483978132 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 483978132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687160320).

483978132 is an abundant number, since it is smaller than the sum of its proper divisors (890342508).

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

483978132 is a wasteful number, since it uses less digits than its factorization.

483978132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1650 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 483978132 is about 21999.5029943860. The cubic root of 483978132 is about 785.1306161549.

The spelling of 483978132 in words is "four hundred eighty-three million, nine hundred seventy-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 307 396 594 614 921 1188 1228 1327 1842 2654 2763 3377 3684 3981 5308 5526 6754 7962 8289 10131 11052 11943 13508 14597 15924 16578 20262 23886 29194 30393 33156 35829 40524 43791 47772 58388 60786 71658 87582 91179 121572 131373 143316 175164 182358 262746 364716 394119 407389 525492 788238 814778 1222167 1576476 1629556 2444334 3666501 4481279 4888668 7333002 8962558 10999503 13443837 14666004 17925116 21999006 26887674 40331511 43998012 53775348 80663022 120994533 161326044 241989066 483978132