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54540432 = 2433191661
BaseRepresentation
bin1101000000001…
…1100010010000
310210121221102000
43100003202100
5102430243212
65224554000
71231405002
oct320034220
9123557360
1054540432
1128872041
1216322900
13b3b7c5b
14735a372
154bc51dc
hex3403890

54540432 has 80 divisors (see below), whose sum is σ = 157608960. Its totient is φ = 18057600.

The previous prime is 54540427. The next prime is 54540491. The reversal of 54540432 is 23404545.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54540396 and 54540405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82182 + ... + 82842.

It is an arithmetic number, because the mean of its divisors is an integer number (1970112).

Almost surely, 254540432 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 54540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78804480).

54540432 is an abundant number, since it is smaller than the sum of its proper divisors (103068528).

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

54540432 is a wasteful number, since it uses less digits than its factorization.

54540432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 54540432 is about 7385.1494229975. The cubic root of 54540432 is about 379.2330607291.

Adding to 54540432 its reverse (23404545), we get a palindrome (77944977).

The spelling of 54540432 in words is "fifty-four million, five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 382 432 573 661 764 1146 1322 1528 1719 1983 2292 2644 3056 3438 3966 4584 5157 5288 5949 6876 7932 9168 10314 10576 11898 13752 15864 17847 20628 23796 27504 31728 35694 41256 47592 71388 82512 95184 126251 142776 252502 285552 378753 505004 757506 1010008 1136259 1515012 2020016 2272518 3030024 3408777 4545036 6060048 6817554 9090072 13635108 18180144 27270216 54540432