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506152404 = 2232127149743
BaseRepresentation
bin11110001010110…
…100010111010100
31022021102012120100
4132022310113110
52014033334104
6122120334100
715354136662
oct3612642724
91267365510
10506152404
1123a78987a
12121614330
1380b2a584
144b317c32
152e681139
hex1e2b45d4

506152404 has 72 divisors (see below), whose sum is σ = 1299916800. Its totient is φ = 166041792.

The previous prime is 506152379. The next prime is 506152417. The reversal of 506152404 is 404251605.

506152404 is a `hidden beast` number, since 5 + 0 + 615 + 2 + 40 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680857 + ... + 681599.

It is an arithmetic number, because the mean of its divisors is an integer number (18054400).

Almost surely, 2506152404 is an apocalyptic number.

It is an amenable number.

506152404 is an abundant number, since it is smaller than the sum of its proper divisors (793764396).

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

506152404 is a wasteful number, since it uses less digits than its factorization.

506152404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 506152404 is about 22497.8310954634. The cubic root of 506152404 is about 796.9427081754.

The spelling of 506152404 in words is "five hundred six million, one hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 127 149 254 298 381 447 508 596 743 762 894 1143 1341 1486 1524 1788 2229 2286 2682 2972 4458 4572 5364 6687 8916 13374 18923 26748 37846 56769 75692 94361 110707 113538 170307 188722 221414 227076 283083 332121 340614 377444 442828 566166 664242 681228 849249 996363 1132332 1328484 1698498 1992726 3396996 3985452 14059789 28119578 42179367 56239156 84358734 126538101 168717468 253076202 506152404