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4172256 = 253311439
BaseRepresentation
bin1111111010100111100000
321211222021000
433322213200
52032003011
6225232000
750315004
oct17724740
97758230
104172256
11239a750
121492600
13b310ba
147a8704
15576356
hex3fa9e0

4172256 has 96 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1261440.

The previous prime is 4172243. The next prime is 4172257. The reversal of 4172256 is 6522714.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9285 + ... + 9723.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 24172256 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 4172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

4172256 is an abundant number, since it is smaller than the sum of its proper divisors (9133344).

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

4172256 is a wasteful number, since it uses less digits than its factorization.

4172256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 4172256 is about 2042.6100949520. The cubic root of 4172256 is about 160.9868178449.

The spelling of 4172256 in words is "four million, one hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 439 528 594 792 864 878 1056 1188 1317 1584 1756 2376 2634 3168 3512 3951 4752 4829 5268 7024 7902 9504 9658 10536 11853 14048 14487 15804 19316 21072 23706 28974 31608 38632 42144 43461 47412 57948 63216 77264 86922 94824 115896 126432 130383 154528 173844 189648 231792 260766 347688 379296 463584 521532 695376 1043064 1390752 2086128 4172256