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4329961000 = 235329149309
BaseRepresentation
bin1000000100001010…
…11111011000101000
3102011202120210211221
410002011133120220
532331432223000
61553354031424
7212205030001
oct40205373050
912152523757
104329961000
111922171872
12a0a118574
135400ac801
142d10c61a8
151a520161a
hex10215f628

4329961000 has 64 divisors (see below), whose sum is σ = 10481562000. Its totient is φ = 1672249600.

The previous prime is 4329960997. The next prime is 4329961033. The reversal of 4329961000 is 1699234.

It can be written as a sum of positive squares in 8 ways, for example, as 71876484 + 4258084516 = 8478^2 + 65254^2 .

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 15 ways as a sum of consecutive naturals, for example, 45655 + ... + 103654.

Almost surely, 24329961000 is an apocalyptic number.

4329961000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4329961000 is an abundant number, since it is smaller than the sum of its proper divisors (6151601000).

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

4329961000 is a wasteful number, since it uses less digits than its factorization.

4329961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149359 (or 149345 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 4329961000 is about 65802.4391645173. The cubic root of 4329961000 is about 1629.9013828703.

The spelling of 4329961000 in words is "four billion, three hundred twenty-nine million, nine hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 149309 298618 597236 746545 1194472 1493090 2986180 3732725 4329961 5972360 7465450 8659922 14930900 17319844 18663625 21649805 29861800 34639688 37327250 43299610 74654500 86599220 108249025 149309000 173198440 216498050 432996100 541245125 865992200 1082490250 2164980500 4329961000