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54142872 = 2337476857
BaseRepresentation
bin1100111010001…
…0011110011000
310202212202001120
43032202132120
5102330032442
65212245240
71225130640
oct316423630
9122782046
1054142872
1128620383
1216170820
13b2a9004
147295520
154b474ec
hex33a2798

54142872 has 64 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 15138048.

The previous prime is 54142871. The next prime is 54142931. The reversal of 54142872 is 27824145.

54142872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54142871) 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 15 ways as a sum of consecutive naturals, for example, 4468 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 254142872 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 54142872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

54142872 is an abundant number, since it is smaller than the sum of its proper divisors (103865448).

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

54142872 is a wasteful number, since it uses less digits than its factorization.

54142872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6916 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 54142872 is about 7358.1840150950. The cubic root of 54142872 is about 378.3093685239.

The spelling of 54142872 in words is "fifty-four million, one hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 6857 7896 13714 20571 27428 41142 47999 54856 82284 95998 143997 164568 191996 287994 322279 383992 575988 644558 966837 1151976 1289116 1933674 2255953 2578232 3867348 4511906 6767859 7734696 9023812 13535718 18047624 27071436 54142872