Search a number
-
+
551214048 = 25371126779
BaseRepresentation
bin100000110110101…
…101101111100000
31102102012120112010
4200312231233200
52112102322143
6130410232520
716442146020
oct4066555740
91372176463
10551214048
11263167300
12134725740
138a276c78
14532c7a80
15335d2a33
hex20dadbe0

551214048 has 144 divisors (see below), whose sum is σ = 1817907840. Its totient is φ = 143151360.

The previous prime is 551214017. The next prime is 551214133. The reversal of 551214048 is 840412155.

551214048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 77923 + ... + 84701.

It is an arithmetic number, because the mean of its divisors is an integer number (12624360).

Almost surely, 2551214048 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 551214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908953920).

551214048 is an abundant number, since it is smaller than the sum of its proper divisors (1266693792).

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

551214048 is a wasteful number, since it uses less digits than its factorization.

551214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 551214048 is about 23477.9481215885. The cubic root of 551214048 is about 819.9236732446.

The spelling of 551214048 in words is "five hundred fifty-one million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 6779 7392 10164 11616 13552 13558 20328 20337 27104 27116 40656 40674 47453 54232 74569 81312 81348 94906 108464 142359 149138 162696 189812 216928 223707 284718 298276 325392 379624 447414 521983 569436 596552 650784 759248 820259 894828 1043966 1138872 1193104 1518496 1565949 1640518 1789656 2087932 2277744 2386208 2460777 3131898 3281036 3579312 4175864 4555488 4921554 5741813 6263796 6562072 7158624 8351728 9843108 11483626 12527592 13124144 16703456 17225439 19686216 22967252 25055184 26248288 34450878 39372432 45934504 50110368 68901756 78744864 91869008 137803512 183738016 275607024 551214048