Search a number
-
+
4428216 = 2333131983
BaseRepresentation
bin10000111001000110111000
322022222101000
4100321012320
52113200331
6234525000
752432152
oct20710670
98288330
104428216
112554a91
121596760
13bc0760
14833ad2
155c70e6
hex4391b8

4428216 has 128 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1275264.

The previous prime is 4428191. The next prime is 4428223. The reversal of 4428216 is 6128244.

4428216 is a `hidden beast` number, since 442 + 8 + 216 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 4428216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53311 + ... + 53393.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

Almost surely, 24428216 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 4428216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4428216 is an abundant number, since it is smaller than the sum of its proper divisors (9683784).

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

4428216 is a wasteful number, since it uses less digits than its factorization.

4428216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4428216 is about 2104.3326733195. The cubic root of 4428216 is about 164.2137802999.

The spelling of 4428216 in words is "four million, four hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 83 104 108 114 117 152 156 166 171 216 228 234 247 249 312 332 342 351 456 468 494 498 513 664 684 702 741 747 936 988 996 1026 1079 1368 1404 1482 1494 1577 1976 1992 2052 2158 2223 2241 2808 2964 2988 3154 3237 4104 4316 4446 4482 4731 5928 5976 6308 6474 6669 8632 8892 8964 9462 9711 12616 12948 13338 14193 17784 17928 18924 19422 20501 25896 26676 28386 29133 37848 38844 41002 42579 53352 56772 58266 61503 77688 82004 85158 113544 116532 123006 164008 170316 184509 233064 246012 340632 369018 492024 553527 738036 1107054 1476072 2214108 4428216