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427980150 = 2325213149491
BaseRepresentation
bin11001100000100…
…111010101110110
31002211022122101200
4121200213111312
51334030331100
6110245033330
713414525353
oct3140472566
91084278350
10427980150
111aa646904
12bb3b5846
136a88a0c0
1440ba962a
152788de00
hex19827576

427980150 has 144 divisors (see below), whose sum is σ = 1249138800. Its totient is φ = 104428800.

The previous prime is 427980131. The next prime is 427980193. The reversal of 427980150 is 51089724.

427980150 is a `hidden beast` number, since 427 + 9 + 80 + 150 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871405 + ... + 871895.

It is an arithmetic number, because the mean of its divisors is an integer number (8674575).

Almost surely, 2427980150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427980150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624569400).

427980150 is an abundant number, since it is smaller than the sum of its proper divisors (821158650).

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

427980150 is a wasteful number, since it uses less digits than its factorization.

427980150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 427980150 is about 20687.6811170319. The cubic root of 427980150 is about 753.6005536901.

The spelling of 427980150 in words is "four hundred twenty-seven million, nine hundred eighty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 149 150 195 225 234 298 325 390 447 450 491 585 650 745 894 975 982 1170 1341 1473 1490 1937 1950 2235 2455 2682 2925 2946 3725 3874 4419 4470 4910 5811 5850 6383 6705 7365 7450 8838 9685 11175 11622 12275 12766 13410 14730 17433 19149 19370 22095 22350 24550 29055 31915 33525 34866 36825 38298 44190 48425 57447 58110 63830 67050 73159 73650 87165 95745 96850 110475 114894 145275 146318 159575 174330 191490 219477 220950 287235 290550 319150 365795 435825 438954 478725 574470 658431 731590 871650 951067 957450 1097385 1316862 1436175 1828975 1902134 2194770 2853201 2872350 3292155 3657950 4755335 5486925 5706402 6584310 8559603 9510670 10973850 14266005 16460775 17119206 23776675 28532010 32921550 42798015 47553350 71330025 85596030 142660050 213990075 427980150