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5458428 = 223417991
BaseRepresentation
bin10100110100100111111100
3101021022120000
4110310213330
52344132203
6312554300
764252533
oct24644774
911238500
105458428
113098aa8
1219b2990
131191651
14a2131a
1572c4a3
hex5349fc

5458428 has 60 divisors (see below), whose sum is σ = 15124032. Its totient is φ = 1710720.

The previous prime is 5458421. The next prime is 5458441. The reversal of 5458428 is 8248545.

5458428 is a `hidden beast` number, since 54 + 584 + 28 = 666.

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

Its product of digits (51200) is a multiple of the sum of its prime factors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 5458392 and 5458401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5013 + ... + 6003.

Almost surely, 25458428 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 5458428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016).

5458428 is an abundant number, since it is smaller than the sum of its proper divisors (9665604).

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

5458428 is a wasteful number, since it uses less digits than its factorization.

5458428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5458428 is about 2336.3278879472. The cubic root of 5458428 is about 176.0715532062.

It can be divided in two parts, 5458 and 428, that added together give a triangular number (5886 = T108).

The spelling of 5458428 in words is "five million, four hundred fifty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 991 1377 1836 1982 2754 2973 3964 5508 5946 8919 11892 16847 17838 26757 33694 35676 50541 53514 67388 80271 101082 107028 151623 160542 202164 303246 321084 454869 606492 909738 1364607 1819476 2729214 5458428