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4221408 = 25343973
BaseRepresentation
bin10000000110100111100000
321221110200110
4100012213200
52040041113
6230251320
750611212
oct20064740
97843613
104221408
112423674
1214b6b40
13b4a599
147bc5b2
15585bc3
hex4069e0

4221408 has 24 divisors (see below), whose sum is σ = 11081448. Its totient is φ = 1407104.

The previous prime is 4221407. The next prime is 4221409. The reversal of 4221408 is 8041224.

It is an interprime number because it is at equal distance from previous prime (4221407) and next prime (4221409).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21891 + ... + 22082.

It is an arithmetic number, because the mean of its divisors is an integer number (461727).

Almost surely, 24221408 is an apocalyptic number.

4221408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4221408 is an abundant number, since it is smaller than the sum of its proper divisors (6860040).

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

4221408 is a wasteful number, since it uses less digits than its factorization.

4221408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43986 (or 43978 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4221408 is about 2054.6065316746. The cubic root of 4221408 is about 161.6165293683.

It can be divided in two parts, 422 and 1408, that added together give a triangular number (1830 = T60).

The spelling of 4221408 in words is "four million, two hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 43973 87946 131919 175892 263838 351784 527676 703568 1055352 1407136 2110704 4221408