Search a number
-
+
4419096 = 2331119881
BaseRepresentation
bin10000110110111000011000
322022111212020
4100312320120
52112402341
6234414440
752363443
oct20667030
98274766
104419096
112549150
121591420
13bb9566
1483065a
155c4566
hex436e18

4419096 has 64 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1267200.

The previous prime is 4419089. The next prime is 4419097. The reversal of 4419096 is 6909144.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4419097) 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, 4576 + ... + 5456.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 24419096 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 4419096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4419096 is an abundant number, since it is smaller than the sum of its proper divisors (8281704).

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

4419096 is a wasteful number, since it uses less digits than its factorization.

4419096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4419096 is about 2102.1645986935. The cubic root of 4419096 is about 164.1009689565.

The spelling of 4419096 in words is "four million, four hundred nineteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 881 1254 1672 1762 2508 2643 3524 5016 5286 7048 9691 10572 16739 19382 21144 29073 33478 38764 50217 58146 66956 77528 100434 116292 133912 184129 200868 232584 368258 401736 552387 736516 1104774 1473032 2209548 4419096