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54475560 = 233253892
BaseRepresentation
bin1100111111001…
…1101100101000
310210111122102100
43033303230220
5102421204220
65223333400
71231014606
oct317635450
9123448370
1054475560
1128828327
12162b1260
13b394579
147340876
154bb0d90
hex33f3b28

54475560 has 72 divisors (see below), whose sum is σ = 177501870. Its totient is φ = 14489472.

The previous prime is 54475549. The next prime is 54475579. The reversal of 54475560 is 6557445.

It is a happy number.

54475560 is a `hidden beast` number, since 54 + 47 + 5 + 560 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29615364 + 24860196 = 5442^2 + 4986^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 139846 + ... + 140234.

Almost surely, 254475560 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 54475560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88750935).

54475560 is an abundant number, since it is smaller than the sum of its proper divisors (123026310).

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

54475560 is a wasteful number, since it uses less digits than its factorization.

54475560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54475560 is about 7380.7560588330. The cubic root of 54475560 is about 379.0826440772.

The spelling of 54475560 in words is "fifty-four million, four hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15560 17505 23340 28008 35010 46680 70020 140040 151321 302642 453963 605284 756605 907926 1210568 1361889 1513210 1815852 2269815 2723778 3026420 3631704 4539630 5447556 6052840 6809445 9079260 10895112 13618890 18158520 27237780 54475560