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5442485760 = 29325236219
BaseRepresentation
bin1010001000110010…
…11011111000000000
3112001021222220220200
411010121123320000
542121234021020
62300015205200
7251604236265
oct50431337000
915037886820
105442485760
112343161118
12107a816800
1368972729a
14398b6526c
1521cc0d590
hex14465be00

5442485760 has 120 divisors (see below), whose sum is σ = 18848938680. Its totient is φ = 1451323392.

The previous prime is 5442485749. The next prime is 5442485779. The reversal of 5442485760 is 675842445.

5442485760 is a `hidden beast` number, since 54 + 4 + 24 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 95070 + ... + 141149.

It is an arithmetic number, because the mean of its divisors is an integer number (157074489).

Almost surely, 25442485760 is an apocalyptic number.

It is an amenable number.

5442485760 is an abundant number, since it is smaller than the sum of its proper divisors (13406452920).

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

5442485760 is a wasteful number, since it uses less digits than its factorization.

5442485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236248 (or 236229 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 5442485760 is about 73773.2048917491. The cubic root of 5442485760 is about 1758.9997070751. Note that the first 3 decimals are identical.

The spelling of 5442485760 in words is "five billion, four hundred forty-two million, four hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 236219 472438 708657 944876 1181095 1417314 1889752 2125971 2362190 2834628 3543285 3779504 4251942 4724380 5669256 7086570 7559008 8503884 9448760 10629855 11338512 14173140 15118016 17007768 18897520 21259710 22677024 28346280 30236032 34015536 37795040 42519420 45354048 56692560 60472064 68031072 75590080 85038840 90708096 113385120 120944128 136062144 151180160 170077680 181416192 226770240 272124288 302360320 340155360 362832384 453540480 544248576 604720640 680310720 907080960 1088497152 1360621440 1814161920 2721242880 5442485760