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4256748 = 2232235397
BaseRepresentation
bin10000001111001111101100
322000021011100
4100033033230
52042203443
6231123100
751116226
oct20171754
98007140
104256748
112448181
121513490
13b606b2
147cb416
155913d3
hex40f3ec

4256748 has 72 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 1317888.

The previous prime is 4256737. The next prime is 4256761. The reversal of 4256748 is 8476524.

4256748 = T407 + T408 + ... + T452.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 47 + 211 + 55 + 65 + 73 + 411 + 85 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43836 + ... + 43932.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 24256748 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 4256748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

4256748 is an abundant number, since it is smaller than the sum of its proper divisors (7300980).

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

4256748 is a wasteful number, since it uses less digits than its factorization.

4256748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4256748 is about 2063.1887940758. The cubic root of 4256748 is about 162.0662737527.

The spelling of 4256748 in words is "four million, two hundred fifty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 97 106 138 159 194 207 212 276 291 318 388 414 477 582 636 828 873 954 1164 1219 1746 1908 2231 2438 3492 3657 4462 4876 5141 6693 7314 8924 10282 10971 13386 14628 15423 20079 20564 21942 26772 30846 40158 43884 46269 61692 80316 92538 118243 185076 236486 354729 472972 709458 1064187 1418916 2128374 4256748