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4585916920 = 2351343920089
BaseRepresentation
bin1000100010101011…
…11000100111111000
3102211121012201100211
410101111320213320
533342443320140
62035020040504
7221433436114
oct42125704770
912747181324
104585916920
111a436a3292
12a7b993134
13581129110
143170b2744
151bc9102ea
hex1115789f8

4585916920 has 64 divisors (see below), whose sum is σ = 11137896000. Its totient is φ = 1689320448.

The previous prime is 4585916897. The next prime is 4585916971. The reversal of 4585916920 is 296195854.

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, 218236 + ... + 238324.

It is an arithmetic number, because the mean of its divisors is an integer number (174029625).

Almost surely, 24585916920 is an apocalyptic number.

4585916920 is a gapful number since it is divisible by the number (40) 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 4585916920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568948000).

4585916920 is an abundant number, since it is smaller than the sum of its proper divisors (6551979080).

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

4585916920 is a wasteful number, since it uses less digits than its factorization.

4585916920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20552 (or 20548 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The square root of 4585916920 is about 67719.3984025257. The cubic root of 4585916920 is about 1661.4045450416.

The spelling of 4585916920 in words is "four billion, five hundred eighty-five million, nine hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 439 520 878 1756 2195 3512 4390 5707 8780 11414 17560 20089 22828 28535 40178 45656 57070 80356 100445 114140 160712 200890 228280 261157 401780 522314 803560 1044628 1305785 2089256 2611570 5223140 8819071 10446280 17638142 35276284 44095355 70552568 88190710 114647923 176381420 229295846 352762840 458591692 573239615 917183384 1146479230 2292958460 4585916920