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4213488 = 243412141
BaseRepresentation
bin10000000100101011110000
321221001211010
4100010223300
52034312423
6230150520
750546136
oct20045360
97831733
104213488
112418724
1214b2440
13b46ab6
147b9756
15583693
hex404af0

4213488 has 40 divisors (see below), whose sum is σ = 11155536. Its totient is φ = 1369600.

The previous prime is 4213483. The next prime is 4213519. The reversal of 4213488 is 8843124.

It is a super-2 number, since 2×42134882 = 35506962252288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 3038.

Almost surely, 24213488 is an apocalyptic number.

4213488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577768).

4213488 is an abundant number, since it is smaller than the sum of its proper divisors (6942048).

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

4213488 is a wasteful number, since it uses less digits than its factorization.

4213488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 4213488 is about 2052.6782504816. The cubic root of 4213488 is about 161.5153937408.

It can be divided in two parts, 42 and 13488, that added together give a triangular number (13530 = T164).

The spelling of 4213488 in words is "four million, two hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 2141 4282 6423 8564 12846 17128 25692 34256 51384 87781 102768 175562 263343 351124 526686 702248 1053372 1404496 2106744 4213488