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54492144 = 24371271277
BaseRepresentation
bin1100111111011…
…1101111110000
310210112111011120
43033313233300
5102422222034
65223542240
71231114140
oct317675760
9123474146
1054492144
1128839833
12162ba980
13b39bc95
147346920
154bb5c49
hex33f7bf0

54492144 has 80 divisors (see below), whose sum is σ = 162275328. Its totient is φ = 15434496.

The previous prime is 54492143. The next prime is 54492149. The reversal of 54492144 is 44129445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54492143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42034 + ... + 43310.

Almost surely, 254492144 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 54492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81137664).

54492144 is an abundant number, since it is smaller than the sum of its proper divisors (107783184).

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

54492144 is a wasteful number, since it uses less digits than its factorization.

54492144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 54492144 is about 7381.8794354825. The cubic root of 54492144 is about 379.1211082296.

The spelling of 54492144 in words is "fifty-four million, four hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1277 1524 1778 2032 2554 2667 3048 3556 3831 5108 5334 6096 7112 7662 8939 10216 10668 14224 15324 17878 20432 21336 26817 30648 35756 42672 53634 61296 71512 107268 143024 162179 214536 324358 429072 486537 648716 973074 1135253 1297432 1946148 2270506 2594864 3405759 3892296 4541012 6811518 7784592 9082024 13623036 18164048 27246072 54492144