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488343900 = 223521131223
BaseRepresentation
bin11101000110111…
…000100101011100
31021000220102220010
4131012320211130
52000004001100
6120242523220
715046566102
oct3506704534
91230812803
10488343900
11230726000
12117666510
137a2337b5
1448bddc72
152cd14750
hex1d1b895c

488343900 has 144 divisors (see below), whose sum is σ = 1555400448. Its totient is φ = 118289600.

The previous prime is 488343883. The next prime is 488343913. The reversal of 488343900 is 9343884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398689 + ... + 399911.

It is an arithmetic number, because the mean of its divisors is an integer number (10801392).

Almost surely, 2488343900 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 488343900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777700224).

488343900 is an abundant number, since it is smaller than the sum of its proper divisors (1067056548).

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

488343900 is a wasteful number, since it uses less digits than its factorization.

488343900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 488343900 is about 22098.5044742851. The cubic root of 488343900 is about 787.4843332736.

The spelling of 488343900 in words is "four hundred eighty-eight million, three hundred forty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1223 1331 1452 1650 1815 2420 2446 2662 3025 3300 3630 3669 3993 4892 5324 6050 6115 6655 7260 7338 7986 9075 12100 12230 13310 13453 14676 15972 18150 18345 19965 24460 26620 26906 30575 33275 36300 36690 39930 40359 53812 61150 66550 67265 73380 79860 80718 91725 99825 122300 133100 134530 147983 161436 183450 199650 201795 269060 295966 336325 366900 399300 403590 443949 591932 672650 739915 807180 887898 1008975 1345300 1479830 1627813 1775796 2017950 2219745 2959660 3255626 3699575 4035900 4439490 4883439 6511252 7399150 8139065 8878980 9766878 11098725 14798300 16278130 19533756 22197450 24417195 32556260 40695325 44394900 48834390 81390650 97668780 122085975 162781300 244171950 488343900