Search a number
-
+
2053243544 = 231117101107127
BaseRepresentation
bin111101001100010…
…0000001010011000
312022002112120122012
41322120200022120
513201112243134
6535424045052
7101611165532
oct17230401230
95262476565
102053243544
119640032a0
12493763788
132694c9c11
14156998852
15c03cd6ce
hex7a620298

2053243544 has 128 divisors (see below), whose sum is σ = 4568555520. Its totient is φ = 854784000.

The previous prime is 2053243519. The next prime is 2053243567. The reversal of 2053243544 is 4453423502.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2053243544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16167209 + ... + 16167335.

It is an arithmetic number, because the mean of its divisors is an integer number (35691840).

Almost surely, 22053243544 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 2053243544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284277760).

2053243544 is an abundant number, since it is smaller than the sum of its proper divisors (2515311976).

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

2053243544 is a wasteful number, since it uses less digits than its factorization.

2053243544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 2053243544 is about 45312.7304849311. The cubic root of 2053243544 is about 1271.0037209545.

The spelling of 2053243544 in words is "two billion, fifty-three million, two hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 107 127 136 187 202 214 254 374 404 428 508 748 808 856 1016 1111 1177 1397 1496 1717 1819 2159 2222 2354 2794 3434 3638 4318 4444 4708 5588 6868 7276 8636 8888 9416 10807 11176 12827 13589 13736 14552 17272 18887 20009 21614 23749 25654 27178 37774 40018 43228 47498 51308 54356 75548 80036 86456 94996 102616 108712 118877 141097 149479 151096 160072 183719 189992 218059 231013 237754 282194 298958 367438 436118 462026 475508 564388 597916 734876 872236 924052 951016 1128776 1195832 1372489 1469752 1744472 1848104 2020909 2398649 2541143 2744978 4041818 4797298 5082286 5489956 8083636 9594596 10164572 10979912 15097379 16167272 19189192 20329144 23332313 30194758 46664626 60389516 93329252 120779032 186658504 256655443 513310886 1026621772 2053243544