Search a number
-
+
4404293472 = 253411995623
BaseRepresentation
bin1000001101000010…
…00010111101100000
3102100221110021211110
410012201002331200
533004444342342
62005011143320
7214066606515
oct40641027540
912327407743
104404293472
111960121967
12a2aba4b40
13552607317
142dad1530c
151ab9d5c9c
hex106842f60

4404293472 has 96 divisors (see below), whose sum is σ = 11904883200. Its totient is φ = 1424839680.

The previous prime is 4404293459. The next prime is 4404293489. The reversal of 4404293472 is 2743924044.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4404293472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780453 + ... + 786075.

It is an arithmetic number, because the mean of its divisors is an integer number (124009200).

Almost surely, 24404293472 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 4404293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952441600).

4404293472 is an abundant number, since it is smaller than the sum of its proper divisors (7500589728).

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

4404293472 is a wasteful number, since it uses less digits than its factorization.

4404293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 4404293472 is about 66364.8511789185. The cubic root of 4404293472 is about 1639.1753577719.

The spelling of 4404293472 in words is "four billion, four hundred four million, two hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 199 246 328 398 492 597 656 796 984 1194 1312 1592 1968 2388 3184 3936 4776 5623 6368 8159 9552 11246 16318 16869 19104 22492 24477 32636 33738 44984 48954 65272 67476 89968 97908 130544 134952 179936 195816 230543 261088 269904 391632 461086 539808 691629 783264 922172 1118977 1383258 1844344 2237954 2766516 3356931 3688688 4475908 5533032 6713862 7377376 8951816 11066064 13427724 17903632 22132128 26855448 35807264 45878057 53710896 91756114 107421792 137634171 183512228 275268342 367024456 550536684 734048912 1101073368 1468097824 2202146736 4404293472