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485014140 = 22325131910909
BaseRepresentation
bin11100111010001…
…011101001111100
31020210122021022200
4130322023221330
51443130423030
6120043311500
715006360252
oct3472135174
91223567280
10485014140
11229861336
1211651b590
1379639020
14485b45d2
152c8a7d60
hex1ce8ba7c

485014140 has 144 divisors (see below), whose sum is σ = 1667920800. Its totient is φ = 113094144.

The previous prime is 485014129. The next prime is 485014151. The reversal of 485014140 is 41410584.

It is a happy number.

485014140 is a `hidden beast` number, since 485 + 0 + 141 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (485014129) and next prime (485014151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39006 + ... + 49914.

Almost surely, 2485014140 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 485014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833960400).

485014140 is an abundant number, since it is smaller than the sum of its proper divisors (1182906660).

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

485014140 is a wasteful number, since it uses less digits than its factorization.

485014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 485014140 is about 22023.0365753681. The cubic root of 485014140 is about 785.6904361435.

The spelling of 485014140 in words is "four hundred eighty-five million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 10909 11115 14820 21818 22230 32727 43636 44460 54545 65454 98181 109090 130908 141817 163635 196362 207271 218180 283634 327270 392724 414542 425451 490905 567268 621813 654540 709085 829084 850902 981810 1036355 1243626 1276353 1418170 1701804 1865439 1963620 2072710 2127255 2487252 2552706 2694523 2836340 3109065 3730878 4145420 4254510 5105412 5389046 6218130 6381765 7461756 8083569 8509020 9327195 10778092 12436260 12763530 13472615 16167138 18654390 24250707 25527060 26945230 32334276 37308780 40417845 48501414 53890460 80835690 97002828 121253535 161671380 242507070 485014140