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4546879064 = 2371316213853
BaseRepresentation
bin1000011110000001…
…11101111001011000
3102201212202101111022
410033000331321120
533303000112224
62031103222012
7220450556120
oct41700757130
912655671438
104546879064
111a2365a5a2
12a6a8a7908
1357600b4b0
14311c2dc80
151b929d65e
hex10f03de58

4546879064 has 64 divisors (see below), whose sum is σ = 10501995840. Its totient is φ = 1797189120.

The previous prime is 4546879033. The next prime is 4546879069. The reversal of 4546879064 is 4609786454.

It is a junction number, because it is equal to n+sod(n) for n = 4546878997 and 4546879015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4546879069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178162 + ... + 1182014.

It is an arithmetic number, because the mean of its divisors is an integer number (164093685).

Almost surely, 24546879064 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 4546879064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250997920).

4546879064 is an abundant number, since it is smaller than the sum of its proper divisors (5955116776).

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

4546879064 is a wasteful number, since it uses less digits than its factorization.

4546879064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The square root of 4546879064 is about 67430.5499310216. The cubic root of 4546879064 is about 1656.6768404485.

The spelling of 4546879064 in words is "four billion, five hundred forty-six million, eight hundred seventy-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1621 3242 3853 6484 7706 11347 12968 15412 21073 22694 26971 30824 42146 45388 50089 53942 84292 90776 100178 107884 147511 168584 200356 215768 295022 350623 400712 590044 701246 1180088 1402492 2804984 6245713 12491426 24982852 43719991 49965704 81194269 87439982 162388538 174879964 324777076 349759928 568359883 649554152 1136719766 2273439532 4546879064