Search a number
-
+
248268372 = 223113750833
BaseRepresentation
bin11101100110001…
…00011001010100
3122022011100011220
432303010121110
51002024041442
640345130340
76103150332
oct1663043124
9568140156
10248268372
11118160780
126b1899b0
133c587481
1424d88b52
1516be0eec
hexecc4654

248268372 has 48 divisors (see below), whose sum is σ = 649048512. Its totient is φ = 73198080.

The previous prime is 248268359. The next prime is 248268373. The reversal of 248268372 is 273862842.

248268372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248268373) 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 15 ways as a sum of consecutive naturals, for example, 20533 + ... + 30300.

It is an arithmetic number, because the mean of its divisors is an integer number (13521844).

Almost surely, 2248268372 is an apocalyptic number.

248268372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

248268372 is an abundant number, since it is smaller than the sum of its proper divisors (400780140).

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

248268372 is a wasteful number, since it uses less digits than its factorization.

248268372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50888 (or 50886 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 248268372 is about 15756.5342636000. The cubic root of 248268372 is about 628.5026774372.

The spelling of 248268372 in words is "two hundred forty-eight million, two hundred sixty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 50833 101666 152499 203332 304998 559163 609996 1118326 1677489 1880821 2236652 3354978 3761642 5642463 6709956 7523284 11284926 20689031 22569852 41378062 62067093 82756124 124134186 248268372