Search a number
-
+
49038268752 = 24331110319501
BaseRepresentation
bin101101101010111010…
…001001100101010000
311200120120011011101000
4231222322021211100
51300412244100002
634310004142000
73354133256364
oct555272114520
9150516134330
1049038268752
1119884908140
129606997900
134816741395
142532b052a4
15142022261c
hexb6ae89950

49038268752 has 80 divisors (see below), whose sum is σ = 153554189760. Its totient is φ = 14860080000.

The previous prime is 49038268751. The next prime is 49038268757. The reversal of 49038268752 is 25786283094.

49038268752 is a `hidden beast` number, since 490 + 3 + 8 + 26 + 87 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49038268751) 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 15 ways as a sum of consecutive naturals, for example, 5154999 + ... + 5164502.

It is an arithmetic number, because the mean of its divisors is an integer number (1919427372).

Almost surely, 249038268752 is an apocalyptic number.

It is an amenable number.

49038268752 is an abundant number, since it is smaller than the sum of its proper divisors (104515921008).

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

49038268752 is a wasteful number, since it uses less digits than its factorization.

49038268752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319529 (or 10319517 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 49038268752 in words is "forty-nine billion, thirty-eight million, two hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 10319501 20639002 30958503 41278004 61917006 82556008 92875509 113514511 123834012 165112016 185751018 227029022 247668024 278626527 340543533 371502036 454058044 495336048 557253054 681087066 743004072 908116088 1021630599 1114506108 1362174132 1486008144 1816232176 2043261198 2229012216 2724348264 3064891797 4086522396 4458024432 5448696528 6129783594 8173044792 12259567188 16346089584 24519134376 49038268752