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248380488 = 23328389467
BaseRepresentation
bin11101100110111…
…11110001001000
3122022101000222100
432303133301020
51002041133423
640351353400
76104125236
oct1663376110
9568330870
10248380488
11118227a34
126b222860
133c5c6505
1424db7956
1516c14343
hexecdfc48

248380488 has 96 divisors (see below), whose sum is σ = 689925600. Its totient is φ = 80703744.

The previous prime is 248380487. The next prime is 248380537. The reversal of 248380488 is 884083842.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (248380487) 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, 531631 + ... + 532097.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2248380488 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 248380488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344962800).

248380488 is an abundant number, since it is smaller than the sum of its proper divisors (441545112).

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

248380488 is a wasteful number, since it uses less digits than its factorization.

248380488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 248380488 is about 15760.0916240991. The cubic root of 248380488 is about 628.5972721173.

The spelling of 248380488 in words is "two hundred forty-eight million, three hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 89 166 178 249 267 332 356 467 498 534 664 712 747 801 934 996 1068 1401 1494 1602 1868 1992 2136 2802 2988 3204 3736 4203 5604 5976 6408 7387 8406 11208 14774 16812 22161 29548 33624 38761 41563 44322 59096 66483 77522 83126 88644 116283 124689 132966 155044 166252 177288 232566 249378 265932 310088 332504 348849 374067 465132 498756 531864 697698 748134 930264 997512 1395396 1496268 2790792 2992536 3449729 6899458 10349187 13798916 20698374 27597832 31047561 41396748 62095122 82793496 124190244 248380488