Search a number
-
+
5419104 = 253192971
BaseRepresentation
bin10100101011000001100000
3101012022121120
4110223001200
52341402404
6312052240
764030065
oct24530140
911168546
105419104
1130714a9
121994080
131179792
14a10c6c
157209d9
hex52b060

5419104 has 48 divisors (see below), whose sum is σ = 14978880. Its totient is φ = 1710720.

The previous prime is 5419097. The next prime is 5419157. The reversal of 5419104 is 4019145.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (312060).

Almost surely, 25419104 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 5419104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489440).

5419104 is an abundant number, since it is smaller than the sum of its proper divisors (9559776).

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

5419104 is a wasteful number, since it uses less digits than its factorization.

5419104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5419104 is about 2327.8969049337. The cubic root of 5419104 is about 175.6477112931.

The spelling of 5419104 in words is "five million, four hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2971 5942 8913 11884 17826 23768 35652 47536 56449 71304 95072 112898 142608 169347 225796 285216 338694 451592 677388 903184 1354776 1806368 2709552 5419104