Search a number
-
+
628557048 = 233271773361
BaseRepresentation
bin100101011101110…
…000010011111000
31121210202000011200
4211131300103320
52241402311143
6142212054200
721401434560
oct4535602370
91553660150
10628557048
112a2893239
12156604360
13a02b6b62
145d69bda0
153a2ae1d3
hex257704f8

628557048 has 96 divisors (see below), whose sum is σ = 2060004960. Its totient is φ = 169021440.

The previous prime is 628557047. The next prime is 628557053. The reversal of 628557048 is 840755826.

628557048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 628556994 and 628557012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628557047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28113 + ... + 45248.

It is an arithmetic number, because the mean of its divisors is an integer number (21458385).

Almost surely, 2628557048 is an apocalyptic number.

628557048 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

628557048 is an abundant number, since it is smaller than the sum of its proper divisors (1431447912).

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

628557048 is a wasteful number, since it uses less digits than its factorization.

628557048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73397 (or 73390 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 628557048 is about 25071.0400262933. The cubic root of 628557048 is about 856.6068970363.

The spelling of 628557048 in words is "six hundred twenty-eight million, five hundred fifty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 73361 146722 220083 293444 440166 513527 586888 660249 880332 1027054 1247137 1320498 1540581 1760664 2054108 2494274 2640996 3081162 3741411 4108216 4621743 4988548 5281992 6162324 7482822 8729959 9243486 9977096 11224233 12324648 14965644 17459918 18486972 22448466 26189877 29931288 34919836 36973944 44896932 52379754 69839672 78569631 89793864 104759508 157139262 209519016 314278524 628557048