Search a number
-
+
48054132 = 22327414651
BaseRepresentation
bin1011011101001…
…1111101110100
310100102101212200
42313103331310
544300213012
64433544500
71122311340
oct267237564
9110371780
1048054132
1125141865
1214115130
139c567c9
14654c620
1543433dc
hex2dd3f74

48054132 has 72 divisors (see below), whose sum is σ = 142239552. Its totient is φ = 13392000.

The previous prime is 48054119. The next prime is 48054187. The reversal of 48054132 is 23145084.

48054132 is a `hidden beast` number, since 480 + 54 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48054096 and 48054105.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8007 + ... + 12657.

Almost surely, 248054132 is an apocalyptic number.

48054132 is a gapful number since it is divisible by the number (42) 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 48054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71119776).

48054132 is an abundant number, since it is smaller than the sum of its proper divisors (94185420).

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

48054132 is a wasteful number, since it uses less digits than its factorization.

48054132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48054132 is about 6932.1087700641. The cubic root of 48054132 is about 363.5606844251.

The spelling of 48054132 in words is "forty-eight million, fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 4651 5166 9302 10332 13953 18604 27906 32557 41859 55812 65114 83718 97671 130228 167436 190691 195342 293013 381382 390684 572073 586026 762764 1144146 1172052 1334837 1716219 2288292 2669674 3432438 4004511 5339348 6864876 8009022 12013533 16018044 24027066 48054132