Search a number
-
+
49431717984 = 2531146810339
BaseRepresentation
bin101110000010010111…
…000010100001100000
311201120222111110020210
4232002113002201200
51302214004433414
634413021134120
73366651445605
oct560227024140
9151528443223
1049431717984
1119a66a093a0
1296b66ba340
13487a0cb08c
14256d0826ac
151444a3ee59
hexb825c2860

49431717984 has 48 divisors (see below), whose sum is σ = 141554468160. Its totient is φ = 14979308160.

The previous prime is 49431717953. The next prime is 49431717997. The reversal of 49431717984 is 48971713494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23404114 + ... + 23406225.

It is an arithmetic number, because the mean of its divisors is an integer number (2949051420).

Almost surely, 249431717984 is an apocalyptic number.

49431717984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49431717984 is an abundant number, since it is smaller than the sum of its proper divisors (92122750176).

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

49431717984 is a wasteful number, since it uses less digits than its factorization.

49431717984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46810363 (or 46810355 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The spelling of 49431717984 in words is "forty-nine billion, four hundred thirty-one million, seven hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 46810339 93620678 140431017 187241356 280862034 374482712 514913729 561724068 748965424 1029827458 1123448136 1497930848 1544741187 2059654916 2246896272 3089482374 4119309832 4493792544 6178964748 8238619664 12357929496 16477239328 24715858992 49431717984