Search a number
-
+
540048704 = 261319127269
BaseRepresentation
bin100000001100000…
…111110101000000
31101122012022112212
4200030013311000
52101223024304
6125331041252
716245224006
oct4014076500
91348168485
10540048704
11257930648
12130a40228
1387b67b60
1451a1ca76
153262966e
hex20307d40

540048704 has 112 divisors (see below), whose sum is σ = 1228953600. Its totient is φ = 233404416.

The previous prime is 540048667. The next prime is 540048721. The reversal of 540048704 is 407840045.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007482 + ... + 2007750.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 2540048704 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 540048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

540048704 is an abundant number, since it is smaller than the sum of its proper divisors (688904896).

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

540048704 is a wasteful number, since it uses less digits than its factorization.

540048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 540048704 is about 23238.9479968436. The cubic root of 540048704 is about 814.3497662787.

Adding to 540048704 its reverse (407840045), we get a palindrome (947888749).

The spelling of 540048704 in words is "five hundred forty million, forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 127 152 208 247 254 269 304 416 494 508 538 608 832 988 1016 1076 1216 1651 1976 2032 2152 2413 3302 3497 3952 4064 4304 4826 5111 6604 6994 7904 8128 8608 9652 10222 13208 13988 15808 17216 19304 20444 26416 27976 31369 34163 38608 40888 52832 55952 62738 66443 68326 77216 81776 105664 111904 125476 132886 136652 154432 163552 223808 250952 265772 273304 327104 444119 501904 531544 546608 649097 888238 1003808 1063088 1093216 1298194 1776476 2007616 2126176 2186432 2596388 3552952 4252352 5192776 7105904 8438261 10385552 14211808 16876522 20771104 28423616 33753044 41542208 67506088 135012176 270024352 540048704