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5458356 = 2232316773
BaseRepresentation
bin10100110100100110110100
3101021022110100
4110310212310
52344131411
6312554100
764252401
oct24644664
911238410
105458356
113098a42
1219b2930
1311915c7
14a212a8
1572c456
hex5349b4

5458356 has 72 divisors (see below), whose sum is σ = 14653184. Its totient is φ = 1710720.

The previous prime is 5458331. The next prime is 5458357. The reversal of 5458356 is 6538545.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5458356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458357) 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 23 ways as a sum of consecutive naturals, for example, 74736 + ... + 74808.

Almost surely, 25458356 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 5458356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326592).

5458356 is an abundant number, since it is smaller than the sum of its proper divisors (9194828).

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

5458356 is a wasteful number, since it uses less digits than its factorization.

5458356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5458356 is about 2336.3124791003. The cubic root of 5458356 is about 176.0707790390.

The spelling of 5458356 in words is "five million, four hundred fifty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 73 93 124 134 146 186 201 219 268 279 292 372 402 438 558 603 657 804 876 1116 1206 1314 2077 2263 2412 2628 4154 4526 4891 6231 6789 8308 9052 9782 12462 13578 14673 18693 19564 20367 24924 27156 29346 37386 40734 44019 58692 74772 81468 88038 151621 176076 303242 454863 606484 909726 1364589 1819452 2729178 5458356