Search a number
-
+
5404968 = 233419439
BaseRepresentation
bin10100100111100100101000
3101011121020000
4110213210220
52340424333
6311503000
763640632
oct24474450
911147200
105404968
113061918
121987a60
13117320a
14a09a52
1571b713
hex527928

5404968 has 80 divisors (see below), whose sum is σ = 15972000. Its totient is φ = 1702944.

The previous prime is 5404961. The next prime is 5404979. The reversal of 5404968 is 8694045.

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

It is not an unprimeable number, because it can be changed into a prime (5404961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12093 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (199650).

Almost surely, 25404968 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 5404968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986000).

5404968 is an abundant number, since it is smaller than the sum of its proper divisors (10567032).

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

5404968 is a wasteful number, since it uses less digits than its factorization.

5404968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5404968 is about 2324.8587053840. The cubic root of 5404968 is about 175.4948497283.

The spelling of 5404968 in words is "five million, four hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 439 456 513 648 684 878 1026 1317 1368 1539 1756 2052 2634 3078 3512 3951 4104 5268 6156 7902 8341 10536 11853 12312 15804 16682 23706 25023 31608 33364 35559 47412 50046 66728 71118 75069 94824 100092 142236 150138 200184 225207 284472 300276 450414 600552 675621 900828 1351242 1801656 2702484 5404968