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247424144 = 241131101449
BaseRepresentation
bin11101011111101…
…10010010010000
3122020120110010012
432233312102100
51001320033034
640315054052
76063033122
oct1657662220
9566513105
10247424144
11117734470
126aa41328
133c350126
1424c09212
1516ac5cce
hexebf6490

247424144 has 80 divisors (see below), whose sum is σ = 546393600. Its totient is φ = 107520000.

The previous prime is 247424123. The next prime is 247424147. The reversal of 247424144 is 441424742.

It is a super-2 number, since 2×2474241442 = 122437414068265472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247424144.

It is not an unprimeable number, because it can be changed into a prime (247424147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550832 + ... + 551280.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2247424144 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 247424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196800).

247424144 is an abundant number, since it is smaller than the sum of its proper divisors (298969456).

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

247424144 is a wasteful number, since it uses less digits than its factorization.

247424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its digits is 28672, while the sum is 32.

The square root of 247424144 is about 15729.7216758594. The cubic root of 247424144 is about 627.7894678818.

Adding to 247424144 its reverse (441424742), we get a palindrome (688848886).

The spelling of 247424144 in words is "two hundred forty-seven million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 101 124 176 202 248 341 404 449 496 682 808 898 1111 1364 1616 1796 2222 2728 3131 3592 4444 4939 5456 6262 7184 8888 9878 12524 13919 17776 19756 25048 27838 34441 39512 45349 50096 55676 68882 79024 90698 111352 137764 153109 181396 222704 275528 306218 362792 498839 551056 612436 725584 997678 1224872 1405819 1995356 2449744 2811638 3990712 5623276 7981424 11246552 15464009 22493104 30928018 61856036 123712072 247424144