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4161456 = 243413219
BaseRepresentation
bin1111110111111110110000
321211102110000
433313332300
52031131311
6225110000
750241345
oct17677660
97742400
104161456
112392622
121488300
13b29200
147a47cc
15573056
hex3f7fb0

4161456 has 150 divisors (see below), whose sum is σ = 13728660. Its totient is φ = 1213056.

The previous prime is 4161439. The next prime is 4161457. The reversal of 4161456 is 6541614.

4161456 = 3452 + 3462 + ... + 3762.

4161456 is a `hidden beast` number, since 41 + 614 + 5 + 6 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4161457) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 219015 + ... + 219033.

Almost surely, 24161456 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 4161456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864330).

4161456 is an abundant number, since it is smaller than the sum of its proper divisors (9567204).

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

4161456 is a wasteful number, since it uses less digits than its factorization.

4161456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4161456 is about 2039.9647055770. The cubic root of 4161456 is about 160.8477915418.

The spelling of 4161456 in words is "four million, one hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 81 104 108 114 117 144 152 156 162 169 171 208 216 228 234 247 304 312 324 338 342 351 432 456 468 494 507 513 624 648 676 684 702 741 912 936 988 1014 1026 1053 1296 1352 1368 1404 1482 1521 1539 1872 1976 2028 2052 2106 2223 2704 2736 2808 2964 3042 3078 3211 3952 4056 4104 4212 4446 4563 5616 5928 6084 6156 6422 6669 8112 8208 8424 8892 9126 9633 11856 12168 12312 12844 13338 13689 16848 17784 18252 19266 20007 24336 24624 25688 26676 27378 28899 35568 36504 38532 40014 51376 53352 54756 57798 73008 77064 80028 86697 106704 109512 115596 154128 160056 173394 219024 231192 260091 320112 346788 462384 520182 693576 1040364 1387152 2080728 4161456