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54501132 = 22372591571
BaseRepresentation
bin1100111111100…
…1111100001100
310210112221111110
43033321330030
5102423014012
65224052020
71231152300
oct317717414
9123487443
1054501132
1128845564
1216304010
13b3a30ba
147349d00
154bb873c
hex33f9f0c

54501132 has 72 divisors (see below), whose sum is σ = 150534720. Its totient is φ = 15298080.

The previous prime is 54501127. The next prime is 54501149. The reversal of 54501132 is 23110545.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54501099 and 54501108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33907 + ... + 35477.

It is an arithmetic number, because the mean of its divisors is an integer number (2090760).

Almost surely, 254501132 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 54501132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75267360).

54501132 is an abundant number, since it is smaller than the sum of its proper divisors (96033588).

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

54501132 is a wasteful number, since it uses less digits than its factorization.

54501132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 54501132 is about 7382.4881984328. The cubic root of 54501132 is about 379.1419513147.

Adding to 54501132 its reverse (23110545), we get a palindrome (77611677).

The spelling of 54501132 in words is "fifty-four million, five hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1571 1652 2478 2891 3142 4713 4956 5782 6284 8673 9426 10997 11564 17346 18852 21994 32991 34692 43988 65982 76979 92689 131964 153958 185378 230937 278067 307916 370756 461874 556134 648823 923748 1112268 1297646 1946469 2595292 3892938 4541761 7785876 9083522 13625283 18167044 27250566 54501132