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49866880 = 275711131
BaseRepresentation
bin1011111000111…
…0100010000000
310110211111111111
42332032202000
5100231220010
64540453104
71143601330
oct276164200
9113744444
1049866880
112616a7a8
121484a194
13a43c93b
1468a10c0
1545a058a
hex2f8e880

49866880 has 64 divisors (see below), whose sum is σ = 136255680. Its totient is φ = 17095680.

The previous prime is 49866877. The next prime is 49866881. The reversal of 49866880 is 8866894.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (49866881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086 + ... + 10045.

It is an arithmetic number, because the mean of its divisors is an integer number (2128995).

Almost surely, 249866880 is an apocalyptic number.

49866880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68127840).

49866880 is an abundant number, since it is smaller than the sum of its proper divisors (86388800).

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

49866880 is a wasteful number, since it uses less digits than its factorization.

49866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 49866880 is about 7061.6485327436. The cubic root of 49866880 is about 368.0759137655.

The spelling of 49866880 in words is "forty-nine million, eight hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 11131 22262 44524 55655 77917 89048 111310 155834 178096 222620 311668 356192 389585 445240 623336 712384 779170 890480 1246672 1424768 1558340 1780960 2493344 3116680 3561920 4986688 6233360 7123840 9973376 12466720 24933440 49866880