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4535954752 = 267231393167
BaseRepresentation
bin1000011100101110…
…10010110101000000
3102201010012101011011
410032113102311000
533242201023002
62030033130304
7220255656610
oct41627226500
912633171134
104535954752
111a18478a3a
12a670b9994
13573984cc4
143105c8a40
151b83418d7
hex10e5d2d40

4535954752 has 112 divisors (see below), whose sum is σ = 10814791680. Its totient is φ = 1845499392.

The previous prime is 4535954737. The next prime is 4535954833. The reversal of 4535954752 is 2574595354.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4535954696 and 4535954705.

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, 1430673 + ... + 1433839.

It is an arithmetic number, because the mean of its divisors is an integer number (96560640).

Almost surely, 24535954752 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 4535954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407395840).

4535954752 is an abundant number, since it is smaller than the sum of its proper divisors (6278836928).

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

4535954752 is a wasteful number, since it uses less digits than its factorization.

4535954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3338 counting only the distinct ones).

The product of its digits is 3780000, while the sum is 49.

The square root of 4535954752 is about 67349.4970434078. The cubic root of 4535954752 is about 1655.3490015863.

The spelling of 4535954752 in words is "four billion, five hundred thirty-five million, nine hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 139 161 184 224 278 322 368 448 556 644 736 973 1112 1288 1472 1946 2224 2576 3167 3197 3892 4448 5152 6334 6394 7784 8896 10304 12668 12788 15568 22169 22379 25336 25576 31136 44338 44758 50672 51152 62272 72841 88676 89516 101344 102304 145682 177352 179032 202688 204608 291364 354704 358064 440213 509887 582728 709408 716128 880426 1019774 1165456 1418816 1432256 1760852 2039548 2330912 3081491 3521704 4079096 4661824 6162982 7043408 8158192 10124899 12325964 14086816 16316384 20249798 24651928 28173632 32632768 40499596 49303856 70874293 80999192 98607712 141748586 161998384 197215424 283497172 323996768 566994344 647993536 1133988688 2267977376 4535954752