Search a number
-
+
244667142 = 23419292741
BaseRepresentation
bin11101001010101…
…01001100000110
3122001101101020000
432211111030012
51000113322032
640140022130
76030431166
oct1645251406
9561341200
10244667142
11116121055
1269b31946
133b8c6275
14246cc5a6
151672de7c
hexe955306

244667142 has 80 divisors (see below), whose sum is σ = 597207600. Its totient is φ = 74571840.

The previous prime is 244667107. The next prime is 244667149. The reversal of 244667142 is 241766442.

It is a junction number, because it is equal to n+sod(n) for n = 244667097 and 244667106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244667149) 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 39 ways as a sum of consecutive naturals, for example, 87892 + ... + 90632.

It is an arithmetic number, because the mean of its divisors is an integer number (7465095).

Almost surely, 2244667142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244667142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298603800).

244667142 is an abundant number, since it is smaller than the sum of its proper divisors (352540458).

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

244667142 is a wasteful number, since it uses less digits than its factorization.

244667142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2794 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 244667142 is about 15641.8394698322. The cubic root of 244667142 is about 625.4489719082.

The spelling of 244667142 in words is "two hundred forty-four million, six hundred sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 81 87 114 162 171 174 261 342 513 522 551 783 1026 1102 1539 1566 1653 2349 2741 3078 3306 4698 4959 5482 8223 9918 14877 16446 24669 29754 44631 49338 52079 74007 79489 89262 104158 148014 156237 158978 222021 238467 312474 444042 468711 476934 715401 937422 1406133 1430802 1510291 2146203 2812266 3020582 4218399 4292406 4530873 6438609 8436798 9061746 12877218 13592619 27185238 40777857 81555714 122333571 244667142