Search a number
-
+
49014264 = 23313179241
BaseRepresentation
bin1011101011111…
…0010111111000
310102020011221010
42322332113320
5100021424024
64510313520
71133420505
oct272762770
9112204833
1049014264
1125738162
12144b88a0
13a201830
14671c4ac
154482b29
hex2ebe5f8

49014264 has 64 divisors (see below), whose sum is σ = 139739040. Its totient is φ = 14192640.

The previous prime is 49014227. The next prime is 49014289. The reversal of 49014264 is 46241094.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 684 + ... + 9924.

Almost surely, 249014264 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 49014264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69869520).

49014264 is an abundant number, since it is smaller than the sum of its proper divisors (90724776).

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

49014264 is a wasteful number, since it uses less digits than its factorization.

49014264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49014264 is about 7001.0187830058. The cubic root of 49014264 is about 365.9660752694.

The spelling of 49014264 in words is "forty-nine million, fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 9241 18482 27723 36964 55446 73928 110892 120133 157097 221784 240266 314194 360399 471291 480532 628388 720798 942582 961064 1256776 1441596 1885164 2042261 2883192 3770328 4084522 6126783 8169044 12253566 16338088 24507132 49014264