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4219104 = 25371619
BaseRepresentation
bin10000000110000011100000
321221100112010
4100012003200
52040002404
6230232520
750601411
oct20060340
97840463
104219104
11242196a
1214b5740
13b49516
147bb808
15585189
hex4060e0

4219104 has 48 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1384320.

The previous prime is 4219099. The next prime is 4219133. The reversal of 4219104 is 4019124.

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

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, 6507 + ... + 7125.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 24219104 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 4219104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4219104 is an abundant number, since it is smaller than the sum of its proper divisors (7030176).

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

4219104 is a wasteful number, since it uses less digits than its factorization.

4219104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4219104 is about 2054.0457638524. The cubic root of 4219104 is about 161.5871211512.

The spelling of 4219104 in words is "four million, two hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 619 852 1136 1238 1704 1857 2272 2476 3408 3714 4952 6816 7428 9904 14856 19808 29712 43949 59424 87898 131847 175796 263694 351592 527388 703184 1054776 1406368 2109552 4219104