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5419032 = 233435989
BaseRepresentation
bin10100101011000000011000
3101012022111220
4110223000120
52341402112
6312052040
764026633
oct24530030
911168456
105419032
113071443
121994020
131179738
14a10c1a
1572098c
hex52b018

5419032 has 64 divisors (see below), whose sum is σ = 14256000. Its totient is φ = 1714944.

The previous prime is 5419021. The next prime is 5419033. The reversal of 5419032 is 2309145.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5418993 and 5419011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5419033) 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, 60844 + ... + 60932.

It is an arithmetic number, because the mean of its divisors is an integer number (222750).

Almost surely, 25419032 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 5419032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128000).

5419032 is an abundant number, since it is smaller than the sum of its proper divisors (8836968).

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

5419032 is a wasteful number, since it uses less digits than its factorization.

5419032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5419032 is about 2327.8814402800. The cubic root of 5419032 is about 175.6469333853.

The spelling of 5419032 in words is "five million, four hundred nineteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 59 86 89 118 129 172 177 178 236 258 267 344 354 356 472 516 534 708 712 1032 1068 1416 2136 2537 3827 5074 5251 7611 7654 10148 10502 11481 15222 15308 15753 20296 21004 22962 30444 30616 31506 42008 45924 60888 63012 91848 126024 225793 451586 677379 903172 1354758 1806344 2709516 5419032