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5458968 = 2333127199
BaseRepresentation
bin10100110100110000011000
3101021100022000
4110310300120
52344141333
6313001000
764254234
oct24646030
911240260
105458968
113099449
1219b3160
131191978
14a215c4
1572c713
hex534c18

5458968 has 64 divisors (see below), whose sum is σ = 15360000. Its totient is φ = 1796256.

The previous prime is 5458967. The next prime is 5458969. The reversal of 5458968 is 8698545.

5458968 is a `hidden beast` number, since 5 + 4 + 589 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5458967) and next prime (5458969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27333 + ... + 27531.

It is an arithmetic number, because the mean of its divisors is an integer number (240000).

Almost surely, 25458968 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 5458968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680000).

5458968 is an abundant number, since it is smaller than the sum of its proper divisors (9901032).

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

5458968 is a wasteful number, since it uses less digits than its factorization.

5458968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5458968 is about 2336.4434510598. The cubic root of 5458968 is about 176.0773592431.

The spelling of 5458968 in words is "five million, four hundred fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 199 216 254 381 398 508 597 762 796 1016 1143 1194 1524 1592 1791 2286 2388 3048 3429 3582 4572 4776 5373 6858 7164 9144 10746 13716 14328 21492 25273 27432 42984 50546 75819 101092 151638 202184 227457 303276 454914 606552 682371 909828 1364742 1819656 2729484 5458968