Search a number
-
+
488674008 = 2332232691097
BaseRepresentation
bin11101001000001…
…001001011011000
31021001112012201100
4131020021023120
52000100032013
6120253551400
715052442364
oct3510111330
91231465640
10488674008
11230931019
121177a5560
137a31ab24
1448c882a4
152cd7c473
hex1d2092d8

488674008 has 96 divisors (see below), whose sum is σ = 1387432800. Its totient is φ = 155088384.

The previous prime is 488674007. The next prime is 488674019. The reversal of 488674008 is 800476884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488674001) 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, 444916 + ... + 446012.

It is an arithmetic number, because the mean of its divisors is an integer number (14452425).

Almost surely, 2488674008 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 488674008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693716400).

488674008 is an abundant number, since it is smaller than the sum of its proper divisors (898758792).

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

488674008 is a wasteful number, since it uses less digits than its factorization.

488674008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 488674008 is about 22105.9722247179. The cubic root of 488674008 is about 787.6617330705.

The spelling of 488674008 in words is "four hundred eighty-eight million, six hundred seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 269 276 414 538 552 807 828 1076 1097 1614 1656 2152 2194 2421 3228 3291 4388 4842 6187 6456 6582 8776 9684 9873 12374 13164 18561 19368 19746 24748 25231 26328 37122 39492 49496 50462 55683 74244 75693 78984 100924 111366 148488 151386 201848 222732 227079 295093 302772 445464 454158 590186 605544 885279 908316 1180372 1770558 1816632 2360744 2655837 3541116 5311674 6787139 7082232 10623348 13574278 20361417 21246696 27148556 40722834 54297112 61084251 81445668 122168502 162891336 244337004 488674008