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5465328 = 243112941
BaseRepresentation
bin10100110110010011110000
3101021200000120
4110312103300
52344342303
6313050240
764311621
oct24662360
911250016
105465328
1130a3200
1219b6980
13119482b
14a23a48
1572e553
hex5364f0

5465328 has 60 divisors (see below), whose sum is σ = 15535464. Its totient is φ = 1654400.

The previous prime is 5465323. The next prime is 5465333. The reversal of 5465328 is 8235645.

It is an interprime number because it is at equal distance from previous prime (5465323) and next prime (5465333).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5338 + ... + 6278.

Almost surely, 25465328 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 5465328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767732).

5465328 is an abundant number, since it is smaller than the sum of its proper divisors (10070136).

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

5465328 is a wasteful number, since it uses less digits than its factorization.

5465328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 957 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5465328 is about 2337.8040978662. The cubic root of 5465328 is about 176.1457126627.

The spelling of 5465328 in words is "five million, four hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 941 968 1452 1882 1936 2823 2904 3764 5646 5808 7528 10351 11292 15056 20702 22584 31053 41404 45168 62106 82808 113861 124212 165616 227722 248424 341583 455444 496848 683166 910888 1366332 1821776 2732664 5465328