Search a number
-
+
123242448 = 2437261859
BaseRepresentation
bin1110101100010…
…00011111010000
322120220100212010
413112020133100
5223022224243
620121302520
73024354300
oct726103720
9276810763
10123242448
116362696a
1235334a40
131c6c0a34
1412521600
15ac46433
hex75887d0

123242448 has 120 divisors (see below), whose sum is σ = 376865760. Its totient is φ = 34594560.

The previous prime is 123242447. The next prime is 123242459. The reversal of 123242448 is 844242321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123242443) 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 23 ways as a sum of consecutive naturals, for example, 143043 + ... + 143901.

It is an arithmetic number, because the mean of its divisors is an integer number (3140548).

Almost surely, 2123242448 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 123242448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188432880).

123242448 is an abundant number, since it is smaller than the sum of its proper divisors (253623312).

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

123242448 is a wasteful number, since it uses less digits than its factorization.

123242448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 123242448 is about 11101.4615254029. The cubic root of 123242448 is about 497.6455276561.

Adding to 123242448 its reverse (844242321), we get a palindrome (967484769).

The spelling of 123242448 in words is "one hundred twenty-three million, two hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 854 859 976 1176 1281 1464 1708 1718 2352 2562 2577 2928 2989 3416 3436 5124 5154 5978 6013 6832 6872 8967 10248 10308 11956 12026 13744 17934 18039 20496 20616 23912 24052 35868 36078 41232 42091 47824 48104 52399 71736 72156 84182 96208 104798 126273 143472 144312 157197 168364 209596 252546 288624 314394 336728 366793 419192 505092 628788 673456 733586 838384 1010184 1100379 1257576 1467172 2020368 2200758 2515152 2567551 2934344 4401516 5135102 5868688 7702653 8803032 10270204 15405306 17606064 20540408 30810612 41080816 61621224 123242448