Search a number
-
+
49169016 = 233213131401
BaseRepresentation
bin1011101110010…
…0001001111000
310102112001012200
42323210021320
5100041402031
64513510200
71134633621
oct273441170
9112461180
1049169016
1125833456
1214572360
13a2570c0
14675ca48
1544b38e6
hex2ee4278

49169016 has 96 divisors (see below), whose sum is σ = 144864720. Its totient is φ = 14976000.

The previous prime is 49168993. The next prime is 49169023. The reversal of 49169016 is 61096194.

49169016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 122416 + ... + 122816.

Almost surely, 249169016 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 49169016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72432360).

49169016 is an abundant number, since it is smaller than the sum of its proper divisors (95695704).

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

49169016 is a wasteful number, since it uses less digits than its factorization.

49169016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49169016 is about 7012.0621788458. The cubic root of 49169016 is about 366.3508236983.

The spelling of 49169016 in words is "forty-nine million, one hundred sixty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 131 156 234 262 312 393 401 468 524 786 802 936 1048 1179 1203 1572 1604 1703 2358 2406 3144 3208 3406 3609 4716 4812 5109 5213 6812 7218 9432 9624 10218 10426 13624 14436 15327 15639 20436 20852 28872 30654 31278 40872 41704 46917 52531 61308 62556 93834 105062 122616 125112 157593 187668 210124 315186 375336 420248 472779 630372 682903 945558 1260744 1365806 1891116 2048709 2731612 3782232 4097418 5463224 6146127 8194836 12292254 16389672 24584508 49169016