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485322240 = 2935134861
BaseRepresentation
bin11100111011010…
…110111000000000
31020211012220221210
4130323112320000
51443220302430
6120054050120
715012112434
oct3473267000
91224186853
10485322240
11229a51867
12116649940
1379716330
14486549c4
152c9192b0
hex1ced6e00

485322240 has 160 divisors (see below), whose sum is σ = 1671205536. Its totient is φ = 119439360.

The previous prime is 485322223. The next prime is 485322269. The reversal of 485322240 is 42223584.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 485322198 and 485322207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97410 + ... + 102270.

Almost surely, 2485322240 is an apocalyptic number.

485322240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835602768).

485322240 is an abundant number, since it is smaller than the sum of its proper divisors (1185883296).

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

485322240 is a wasteful number, since it uses less digits than its factorization.

485322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 485322240 is about 22030.0304130521. The cubic root of 485322240 is about 785.8567680527.

The spelling of 485322240 in words is "four hundred eighty-five million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4861 4992 6240 6656 7680 8320 9722 9984 12480 14583 16640 19444 19968 24305 24960 29166 33280 38888 48610 49920 58332 63193 72915 77776 97220 99840 116664 126386 145830 155552 189579 194440 233328 252772 291660 311104 315965 379158 388880 466656 505544 583320 622208 631930 758316 777760 933312 947895 1011088 1166640 1244416 1263860 1516632 1555520 1866624 1895790 2022176 2333280 2488832 2527720 3033264 3111040 3733248 3791580 4044352 4666560 5055440 6066528 6222080 7466496 7583160 8088704 9333120 10110880 12133056 12444160 15166320 16177408 18666240 20221760 24266112 30332640 32354816 37332480 40443520 48532224 60665280 80887040 97064448 121330560 161774080 242661120 485322240