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50279680 = 285113571
BaseRepresentation
bin1011111111001…
…1010100000000
310111121110202101
42333303110000
5100332422210
64553400144
71150240663
oct277632400
9114543671
1050279680
1126421960
1214a09054
13a5557b9
14696b6da
154632a3a
hex2ff3500

50279680 has 72 divisors (see below), whose sum is σ = 131421024. Its totient is φ = 18278400.

The previous prime is 50279639. The next prime is 50279683. The reversal of 50279680 is 8697205.

50279680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50279683) by changing a digit.

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, 12295 + ... + 15865.

It is an arithmetic number, because the mean of its divisors is an integer number (1825292).

Almost surely, 250279680 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 50279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65710512).

50279680 is an abundant number, since it is smaller than the sum of its proper divisors (81141344).

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

50279680 is a wasteful number, since it uses less digits than its factorization.

50279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 50279680 is about 7090.8165961333. The cubic root of 50279680 is about 369.0887730344.

The spelling of 50279680 in words is "fifty million, two hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 3571 7040 7142 14080 14284 17855 28568 35710 39281 57136 71420 78562 114272 142840 157124 196405 228544 285680 314248 392810 457088 571360 628496 785620 914176 1142720 1256992 1571240 2285440 2513984 3142480 4570880 5027968 6284960 10055936 12569920 25139840 50279680