Search a number
-
+
488312892 = 2232471911511
BaseRepresentation
bin11101000110110…
…001000000111100
31021000211212100200
4131012301000330
52000002003032
6120242123500
715046406514
oct3506610074
91230755320
10488312892
11230704781
12117650590
137a222652
1448bd2844
152cd0a47c
hex1d1b103c

488312892 has 72 divisors (see below), whose sum is σ = 1268047872. Its totient is φ = 158368800.

The previous prime is 488312873. The next prime is 488312897. The reversal of 488312892 is 298213884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488312897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322417 + ... + 323927.

It is an arithmetic number, because the mean of its divisors is an integer number (17611776).

Almost surely, 2488312892 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 488312892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

488312892 is an abundant number, since it is smaller than the sum of its proper divisors (779734980).

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

488312892 is a wasteful number, since it uses less digits than its factorization.

488312892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1754 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 488312892 is about 22097.8028772093. The cubic root of 488312892 is about 787.4676654902.

The spelling of 488312892 in words is "four hundred eighty-eight million, three hundred twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 191 282 382 423 564 573 764 846 1146 1511 1692 1719 2292 3022 3438 4533 6044 6876 8977 9066 13599 17954 18132 26931 27198 35908 53862 54396 71017 80793 107724 142034 161586 213051 284068 288601 323172 426102 577202 639153 852204 865803 1154404 1278306 1731606 2556612 2597409 3463212 5194818 10389636 13564247 27128494 40692741 54256988 81385482 122078223 162770964 244156446 488312892