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248491044 = 223319831459
BaseRepresentation
bin11101100111110…
…10110000100100
3122022120122122000
432303322300210
51002103203134
640354005300
76105065454
oct1663726044
9568518560
10248491044
111182a2aaa
126b276830
133c634929
1425005d64
1516c36e99
hexecfac24

248491044 has 96 divisors (see below), whose sum is σ = 686784000. Its totient is φ = 77472288.

The previous prime is 248491043. The next prime is 248491069. The reversal of 248491044 is 440194842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248491043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169587 + ... + 171045.

It is an arithmetic number, because the mean of its divisors is an integer number (7154000).

Almost surely, 2248491044 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 248491044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343392000).

248491044 is an abundant number, since it is smaller than the sum of its proper divisors (438292956).

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

248491044 is a wasteful number, since it uses less digits than its factorization.

248491044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 248491044 is about 15763.5987008043. The cubic root of 248491044 is about 628.6905227213.

It can be divided in two parts, 2484 and 91044, that added together give a triangular number (93528 = T432).

The spelling of 248491044 in words is "two hundred forty-eight million, four hundred ninety-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 83 108 114 166 171 228 249 332 342 498 513 684 747 996 1026 1459 1494 1577 2052 2241 2918 2988 3154 4377 4482 4731 5836 6308 8754 8964 9462 13131 14193 17508 18924 26262 27721 28386 39393 42579 52524 55442 56772 78786 83163 85158 110884 121097 157572 166326 170316 242194 249489 332652 363291 484388 498978 726582 748467 997956 1089873 1453164 1496934 2179746 2300843 2993868 3269619 4359492 4601686 6539238 6902529 9203372 13078476 13805058 20707587 27610116 41415174 62122761 82830348 124245522 248491044