Search a number
-
+
4244213376 = 27341331489
BaseRepresentation
bin1111110011111001…
…1000111010000000
3101221210020101020000
43330332120322000
532143004312001
61541052120000
7210114134634
oct37476307200
911853211200
104244213376
111888825367
129a5466000
135283b9280
142c3964dc4
1519c914a86
hexfcf98e80

4244213376 has 160 divisors (see below), whose sum is σ = 13602735300. Its totient is φ = 1305870336.

The previous prime is 4244213339. The next prime is 4244213377. The reversal of 4244213376 is 6733124424.

It can be written as a sum of positive squares in 2 ways, for example, as 4152513600 + 91699776 = 64440^2 + 9576^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4244213376.

It is not an unprimeable number, because it can be changed into a prime (4244213377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119040 + ... + 150528.

Almost surely, 24244213376 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 4244213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801367650).

4244213376 is an abundant number, since it is smaller than the sum of its proper divisors (9358521924).

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

4244213376 is a wasteful number, since it uses less digits than its factorization.

4244213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31528 (or 31507 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 4244213376 is about 65147.6275546547. The cubic root of 4244213376 is about 1619.0704131895.

The spelling of 4244213376 in words is "four billion, two hundred forty-four million, two hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 31489 33696 44928 62978 67392 94467 125956 134784 188934 251912 283401 377868 409357 503824 566802 755736 818714 850203 1007648 1133604 1228071 1511472 1637428 1700406 2015296 2267208 2456142 2550609 3022944 3274856 3400812 3684213 4030592 4534416 4912284 5101218 6045888 6549712 6801624 7368426 9068832 9824568 10202436 11052639 12091776 13099424 13603248 14736852 18137664 19649136 20404872 22105278 26198848 27206496 29473704 33157917 36275328 39298272 40809744 44210556 52397696 54412992 58947408 66315834 78596544 81619488 88421112 108825984 117894816 132631668 157193088 163238976 176842224 235789632 265263336 326477952 353684448 471579264 530526672 707368896 1061053344 1414737792 2122106688 4244213376