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506421146 = 271131374761
BaseRepresentation
bin11110001011110…
…101111110011010
31022021220212012202
4132023311332122
52014120434041
6122130210202
715356336330
oct3613657632
91267825182
10506421146
1123a952780
12121723962
1380bc29aa
144b387b50
152e6d5a9b
hex1e2f5f9a

506421146 has 128 divisors (see below), whose sum is σ = 1042219008. Its totient is φ = 178848000.

The previous prime is 506421137. The next prime is 506421151. The reversal of 506421146 is 641124605.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8301956 + ... + 8302016.

It is an arithmetic number, because the mean of its divisors is an integer number (8142336).

Almost surely, 2506421146 is an apocalyptic number.

506421146 is an abundant number, since it is smaller than the sum of its proper divisors (535797862).

506421146 is a wasteful number, since it uses less digits than its factorization.

506421146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 506421146 is about 22503.8029230617. The cubic root of 506421146 is about 797.0837289969.

The spelling of 506421146 in words is "five hundred six million, four hundred twenty-one thousand, one hundred forty-six".

Divisors: 1 2 7 11 14 22 31 37 47 61 62 74 77 94 122 154 217 259 329 341 407 427 434 517 518 658 671 682 814 854 1034 1147 1342 1457 1739 1891 2257 2294 2387 2849 2867 2914 3478 3619 3782 4514 4697 4774 5698 5734 7238 8029 9394 10199 12173 12617 13237 15799 16027 16058 19129 20069 20398 20801 24346 24827 25234 26474 31537 31598 32054 38258 40138 41602 49654 53909 63074 69967 88319 88877 106079 107818 112189 133903 139934 145607 173789 176638 177754 212158 220759 224378 267806 291214 347578 377363 441518 489769 592999 622139 742553 754726 769637 977647 979538 1166869 1185998 1244278 1485106 1539274 1955294 2333738 3288449 4150993 5387459 6576898 6843529 8168083 8301986 10774918 13687058 16336166 23019143 36172939 46038286 72345878 253210573 506421146