Search a number
-
+
4426752 = 210311131
BaseRepresentation
bin10000111000110000000000
322022220100210
4100320300000
52113124002
6234514120
752424661
oct20706000
98286323
104426752
112553980
121595940
13bbcba5
14833368
155c696c
hex438c00

4426752 has 88 divisors (see below), whose sum is σ = 12969792. Its totient is φ = 1331200.

The previous prime is 4426739. The next prime is 4426777. The reversal of 4426752 is 2576244.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×44267522 = 39192266539008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33727 + ... + 33857.

It is an arithmetic number, because the mean of its divisors is an integer number (147384).

Almost surely, 24426752 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 4426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484896).

4426752 is an abundant number, since it is smaller than the sum of its proper divisors (8543040).

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

4426752 is a wasteful number, since it uses less digits than its factorization.

4426752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 4426752 is about 2103.9847908196. The cubic root of 4426752 is about 164.1956815537.

It can be divided in two parts, 44 and 26752, that added together give a triangular number (26796 = T231).

The spelling of 4426752 in words is "four million, four hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 256 262 264 352 384 393 512 524 528 704 768 786 1024 1048 1056 1408 1441 1536 1572 2096 2112 2816 2882 3072 3144 4192 4224 4323 5632 5764 6288 8384 8448 8646 11264 11528 12576 16768 16896 17292 23056 25152 33536 33792 34584 46112 50304 67072 69168 92224 100608 134144 138336 184448 201216 276672 368896 402432 553344 737792 1106688 1475584 2213376 4426752