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4330561249 = 74172792
BaseRepresentation
bin1000000100001111…
…10001111011100001
3102011210201022020101
410002013301323201
532332110424444
61553414542401
7212213110000
oct40207617341
912153638211
104330561249
111922541843
12a0a367a01
1354025caa1
142d1200c37
151a52be3d4
hex1021f1ee1

4330561249 has 45 divisors (see below), whose sum is σ = 5435472147. Its totient is φ = 3449339712.

The previous prime is 4330561241. The next prime is 4330561253. The reversal of 4330561249 is 9421650334.

The square root of 4330561249 is 65807.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3371544225 + 959017024 = 58065^2 + 30968^2 .

It is not a de Polignac number, because 4330561249 - 23 = 4330561241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4330561241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54817192 + ... + 54817270.

Almost surely, 24330561249 is an apocalyptic number.

4330561249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4330561249 is the 65807-th square number.

4330561249 is the 32904-th centered octagonal number.

It is an amenable number.

4330561249 is a deficient number, since it is larger than the sum of its proper divisors (1104910898).

4330561249 is an frugal number, since it uses more digits than its factorization.

4330561249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The cubic root of 4330561249 is about 1629.9766954401.

The spelling of 4330561249 in words is "four billion, three hundred thirty million, five hundred sixty-one thousand, two hundred forty-nine".

Divisors: 1 7 17 49 79 119 289 343 553 833 1343 2023 2401 3871 5831 6241 9401 14161 22831 27097 40817 43687 65807 99127 106097 159817 189679 305809 460649 693889 742679 1118719 1803649 2140663 3224543 5198753 7831033 12625543 14984641 36391271 54817231 88378801 254738897 618651607 4330561249