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5472 = 253219
BaseRepresentation
bin1010101100000
321111200
41111200
5133342
641200
721645
oct12540
97450
105472
114125
123200
13264c
141dcc
15194c
hex1560

5472 has 36 divisors (see below), whose sum is σ = 16380. Its totient is φ = 1728.

The previous prime is 5471. The next prime is 5477. The reversal of 5472 is 2745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (280) is a multiple of the sum of its prime factors (35).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (455).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190).

5472 is an abundant number, since it is smaller than the sum of its proper divisors (10908).

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

5472 is a wasteful number, since it uses less digits than its factorization.

5472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 24 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 5472 is about 73.9729680356. The cubic root of 5472 is about 17.6217362298.

The spelling of 5472 in words is "five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472