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4221936 = 243329337
BaseRepresentation
bin10000000110101111110000
321221111102000
4100012233300
52040100221
6230254000
750612565
oct20065760
97844360
104221936
112424004
1214b7300
13b4a8b4
147bc86c
15585e26
hex406bf0

4221936 has 80 divisors (see below), whose sum is σ = 12573600. Its totient is φ = 1354752.

The previous prime is 4221923. The next prime is 4221941. The reversal of 4221936 is 6391224.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12360 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (157170).

Almost surely, 24221936 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 4221936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286800).

4221936 is an abundant number, since it is smaller than the sum of its proper divisors (8351664).

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

4221936 is a wasteful number, since it uses less digits than its factorization.

4221936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4221936 is about 2054.7350194125. The cubic root of 4221936 is about 161.6232672442.

The spelling of 4221936 in words is "four million, two hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 337 348 432 464 522 674 696 783 1011 1044 1348 1392 1566 2022 2088 2696 3033 3132 4044 4176 5392 6066 6264 8088 9099 9773 12132 12528 16176 18198 19546 24264 29319 36396 39092 48528 58638 72792 78184 87957 117276 145584 156368 175914 234552 263871 351828 469104 527742 703656 1055484 1407312 2110968 4221936