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4589123340 = 2235715771867
BaseRepresentation
bin1000100011000100…
…00111011100001100
3102211211020121202010
410101202013130030
533344303421330
62035212501220
7221502622224
oct42142073414
912754217663
104589123340
111a4549331a
12a80a7a810
135819ac6c9
143176a9084
151bcd453b0
hex11188770c

4589123340 has 96 divisors (see below), whose sum is σ = 13060099584. Its totient is φ = 1203793920.

The previous prime is 4589123311. The next prime is 4589123359. The reversal of 4589123340 is 433219854.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457087 + ... + 2458953.

It is an arithmetic number, because the mean of its divisors is an integer number (136042704).

Almost surely, 24589123340 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 4589123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530049792).

4589123340 is an abundant number, since it is smaller than the sum of its proper divisors (8470976244).

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

4589123340 is a wasteful number, since it uses less digits than its factorization.

4589123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4589123340 is about 67743.0685753162. The cubic root of 4589123340 is about 1661.7916664377.

The spelling of 4589123340 in words is "four billion, five hundred eighty-nine million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 577 710 852 1065 1154 1420 1731 1867 2130 2308 2885 3462 3734 4260 5601 5770 6924 7468 8655 9335 11202 11540 17310 18670 22404 28005 34620 37340 40967 56010 81934 112020 122901 132557 163868 204835 245802 265114 397671 409670 491604 530228 614505 662785 795342 819340 1077259 1229010 1325570 1590684 1988355 2154518 2458020 2651140 3231777 3976710 4309036 5386295 6463554 7953420 10772590 12927108 16158885 21545180 32317770 64635540 76485389 152970778 229456167 305941556 382426945 458912334 764853890 917824668 1147280835 1529707780 2294561670 4589123340