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54196272 = 243213217131
BaseRepresentation
bin1100111010111…
…1100000110000
310202222110022100
43032233200300
5102333240042
65213340400
71225442424
oct316574060
9122873270
1054196272
1128657509
1216197700
13b2c7400
1472aab84
154b5824c
hex33af830

54196272 has 180 divisors, whose sum is σ = 175227624. Its totient is φ = 15575040.

The previous prime is 54196271. The next prime is 54196309. The reversal of 54196272 is 27269145.

54196272 is a `hidden beast` number, since 541 + 96 + 27 + 2 = 666.

54196272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (54196271) 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 35 ways as a sum of consecutive naturals, for example, 413647 + ... + 413777.

Almost surely, 254196272 is an apocalyptic number.

54196272 is a gapful number since it is divisible by the number (52) 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 54196272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613812).

54196272 is an abundant number, since it is smaller than the sum of its proper divisors (121031352).

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

54196272 is a wasteful number, since it uses less digits than its factorization.

54196272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 54196272 is about 7361.8117335341. The cubic root of 54196272 is about 378.4337005714.

The spelling of 54196272 in words is "fifty-four million, one hundred ninety-six thousand, two hundred seventy-two".