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4275005724 = 22321110999041
BaseRepresentation
bin1111111011001111…
…0110100100011100
3102000221011210101100
43332303312210130
532223400140344
61544112113100
7210636643353
oct37663664434
912027153340
104275005724
1118a4147090
129b3835790
135318aaab2
142c7a9c99a
151a0498569
hexfecf691c

4275005724 has 72 divisors (see below), whose sum is σ = 11896925040. Its totient is φ = 1283558400.

The previous prime is 4275005621. The next prime is 4275005737.

It is a happy number.

4275005724 is nontrivially palindromic in base 10.

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

It is a congruent number.

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, 6357 + ... + 92684.

It is an arithmetic number, because the mean of its divisors is an integer number (165235070).

Almost surely, 24275005724 is an apocalyptic number.

4275005724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4275005724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948462520).

4275005724 is an abundant number, since it is smaller than the sum of its proper divisors (7621919316).

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

4275005724 is a wasteful number, since it uses less digits than its factorization.

4275005724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99171 (or 99166 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4275005724 is about 65383.5279256175. The cubic root of 4275005724 is about 1622.9765076442.

The spelling of 4275005724 in words is "four billion, two hundred seventy-five million, five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 327 396 436 654 981 1199 1308 1962 2398 3597 3924 4796 7194 10791 14388 21582 43164 99041 198082 297123 396164 594246 891369 1089451 1188492 1782738 2178902 3268353 3565476 4357804 6536706 9805059 10795469 13073412 19610118 21590938 32386407 39220236 43181876 64772814 97159221 118750159 129545628 194318442 237500318 356250477 388636884 475000636 712500954 1068751431 1425001908 2137502862 4275005724