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54550100 = 225211101491
BaseRepresentation
bin1101000000010…
…1111001010100
310210122102200002
43100011321110
5102431100400
65225110432
71231445123
oct320057124
9123572602
1054550100
1128879330
1216328418
13b3bc487
14735daba
154bc7ed5
hex3405e54

54550100 has 72 divisors (see below), whose sum is σ = 130679136. Its totient is φ = 19600000.

The previous prime is 54550087. The next prime is 54550117. The reversal of 54550100 is 105545.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110855 + ... + 111345.

It is an arithmetic number, because the mean of its divisors is an integer number (1814988).

Almost surely, 254550100 is an apocalyptic number.

54550100 is a gapful number since it is divisible by the number (50) 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 54550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65339568).

54550100 is an abundant number, since it is smaller than the sum of its proper divisors (76129036).

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

54550100 is a wasteful number, since it uses less digits than its factorization.

54550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 54550100 is about 7385.8039508235. The cubic root of 54550100 is about 379.2554674005.

Adding to 54550100 its reverse (105545), we get a palindrome (54655645).

The spelling of 54550100 in words is "fifty-four million, five hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 491 505 550 982 1010 1100 1111 1964 2020 2222 2455 2525 4444 4910 5050 5401 5555 9820 10100 10802 11110 12275 21604 22220 24550 27005 27775 49100 49591 54010 55550 99182 108020 111100 135025 198364 247955 270050 495910 540100 545501 991820 1091002 1239775 2182004 2479550 2727505 4959100 5455010 10910020 13637525 27275050 54550100