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506381484 = 223722773109
BaseRepresentation
bin11110001011101…
…100010010101100
31022021211211210210
4132023230102230
52014113201414
6122125302420
715356112600
oct3613542254
91267754723
10506381484
1123a9259a4
12121704a10
1380baa91b
144b377500
152e6c8e59
hex1e2ec4ac

506381484 has 72 divisors (see below), whose sum is σ = 1379869680. Its totient is φ = 144111744.

The previous prime is 506381461. The next prime is 506381503. The reversal of 506381484 is 484183605.

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, 161322 + ... + 164430.

Almost surely, 2506381484 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 506381484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689934840).

506381484 is an abundant number, since it is smaller than the sum of its proper divisors (873488196).

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

506381484 is a wasteful number, since it uses less digits than its factorization.

506381484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 506381484 is about 22502.9216769734. The cubic root of 506381484 is about 797.0629197288.

The spelling of 506381484 in words is "five hundred six million, three hundred eighty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 277 294 554 588 831 1108 1662 1939 3109 3324 3878 5817 6218 7756 9327 11634 12436 13573 18654 21763 23268 27146 37308 40719 43526 54292 65289 81438 87052 130578 152341 162876 261156 304682 457023 609364 861193 914046 1722386 1828092 2583579 3444772 5167158 6028351 10334316 12056702 18085053 24113404 36170106 42198457 72340212 84396914 126595371 168793828 253190742 506381484