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5375328 = 253719421
BaseRepresentation
bin10100100000010101100000
3101010002120020
4110200111200
52334002303
6311113440
763455340
oct24402540
911102506
105375328
113041622
121972880
13116288a
149dcd20
15712a53
hex520560

5375328 has 96 divisors (see below), whose sum is σ = 17015040. Its totient is φ = 1451520.

The previous prime is 5375327. The next prime is 5375371. The reversal of 5375328 is 8235735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53753282 = 57788302215168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5375327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12558 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (177240).

Almost surely, 25375328 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 5375328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507520).

5375328 is an abundant number, since it is smaller than the sum of its proper divisors (11639712).

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

5375328 is a wasteful number, since it uses less digits than its factorization.

5375328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 5375328 is about 2318.4753610940. The cubic root of 5375328 is about 175.1734660928.

The spelling of 5375328 in words is "five million, three hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 421 456 532 608 672 798 842 912 1064 1263 1596 1684 1824 2128 2526 2947 3192 3368 4256 5052 5894 6384 6736 7999 8841 10104 11788 12768 13472 15998 17682 20208 23576 23997 31996 35364 40416 47152 47994 55993 63992 70728 94304 95988 111986 127984 141456 167979 191976 223972 255968 282912 335958 383952 447944 671916 767904 895888 1343832 1791776 2687664 5375328