Search a number
-
+
248388252 = 2237437233
BaseRepresentation
bin11101100111000…
…01101010011100
3122022101102121220
432303201222130
51002041411002
640351453340
76104160000
oct1663415234
9568342556
10248388252
11118232852
126b227250
133c5c9bc8
1424dba700
1516c167bc
hexece1a9c

248388252 has 120 divisors (see below), whose sum is σ = 697381776. Its totient is φ = 68753664.

The previous prime is 248388227. The next prime is 248388269. The reversal of 248388252 is 252883842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1065928 + ... + 1066160.

Almost surely, 2248388252 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 248388252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348690888).

248388252 is an abundant number, since it is smaller than the sum of its proper divisors (448993524).

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

248388252 is a wasteful number, since it uses less digits than its factorization.

248388252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 248388252 is about 15760.3379405392. The cubic root of 248388252 is about 628.6038217171.

The spelling of 248388252 in words is "two hundred forty-eight million, three hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 233 259 294 343 444 466 518 588 686 699 777 932 1029 1036 1372 1398 1554 1631 1813 2058 2401 2796 3108 3262 3626 4116 4802 4893 5439 6524 7203 7252 8621 9604 9786 10878 11417 12691 14406 17242 19572 21756 22834 25382 25863 28812 34251 34484 38073 45668 50764 51726 60347 68502 76146 79919 88837 103452 120694 137004 152292 159838 177674 181041 239757 241388 266511 319676 355348 362082 422429 479514 533022 559433 724164 844858 959028 1066044 1118866 1267287 1678299 1689716 2237732 2534574 2957003 3356598 5069148 5914006 6713196 8871009 11828012 17742018 20699021 35484036 41398042 62097063 82796084 124194126 248388252