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54172100 = 2252541721
BaseRepresentation
bin1100111010100…
…1100111000100
310202221020011002
43032221213010
5102332001400
65213032432
71225312103
oct316514704
9122836132
1054172100
1128640334
1216185718
13b2b93c8
1472a203a
154b50ed5
hex33a99c4

54172100 has 18 divisors (see below), whose sum is σ = 117553674. Its totient is φ = 21668800.

The previous prime is 54172099. The next prime is 54172103. The reversal of 54172100 is 127145.

54172100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 19149376 + 35022724 = 4376^2 + 5918^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (54172103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 270761 + ... + 270960.

Almost surely, 254172100 is an apocalyptic number.

54172100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54172100 is an abundant number, since it is smaller than the sum of its proper divisors (63381574).

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

54172100 is a wasteful number, since it uses less digits than its factorization.

54172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541735 (or 541728 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 54172100 is about 7360.1698349970. The cubic root of 54172100 is about 378.3774306512.

Adding to 54172100 its reverse (127145), we get a palindrome (54299245).

The spelling of 54172100 in words is "fifty-four million, one hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 541721 1083442 2166884 2708605 5417210 10834420 13543025 27086050 54172100