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54197136 = 2432727681
BaseRepresentation
bin1100111010111…
…1101110010000
310202222111111100
43032233232100
5102333302021
65213344400
71225445100
oct316575620
9122874440
1054197136
1128658124
1216198100
13b2c7916
1472ab200
154b58626
hex33afb90

54197136 has 90 divisors (see below), whose sum is σ = 176463222. Its totient is φ = 15482880.

The previous prime is 54197107. The next prime is 54197141. The reversal of 54197136 is 63179145.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 4410000 = 7056^2 + 2100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54197136.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3216 + ... + 10896.

Almost surely, 254197136 is an apocalyptic number.

54197136 is a gapful number since it is divisible by the number (56) 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 54197136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88231611).

54197136 is an abundant number, since it is smaller than the sum of its proper divisors (122266086).

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

54197136 is a wasteful number, since it uses less digits than its factorization.

54197136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7693 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 54197136 is about 7361.8704145074. The cubic root of 54197136 is about 378.4357115645.

Subtracting 54197136 from its reverse (63179145), we obtain a square (8982009 = 29972).

The spelling of 54197136 in words is "fifty-four million, one hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7681 15362 23043 30724 46086 53767 61448 69129 92172 107534 122896 138258 161301 184344 215068 276516 322602 368688 376369 430136 483903 553032 645204 752738 860272 967806 1106064 1129107 1290408 1505476 1935612 2258214 2580816 3010952 3387321 3871224 4516428 6021904 6774642 7742448 9032856 13549284 18065712 27098568 54197136