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50078688 = 25311471009
BaseRepresentation
bin1011111100001…
…0001111100000
310111020021001020
42333002033200
5100310004223
64545205440
71145443002
oct277021740
9114207036
1050078688
11262a4950
1214930880
13a4b517a
146918372
1545e31e3
hex2fc23e0

50078688 has 96 divisors (see below), whose sum is σ = 146603520. Its totient is φ = 14837760.

The previous prime is 50078663. The next prime is 50078701. The reversal of 50078688 is 88687005.

It is a happy number.

50078688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 49128 + ... + 50136.

It is an arithmetic number, because the mean of its divisors is an integer number (1527120).

Almost surely, 250078688 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 50078688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73301760).

50078688 is an abundant number, since it is smaller than the sum of its proper divisors (96524832).

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

50078688 is a wasteful number, since it uses less digits than its factorization.

50078688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 50078688 is about 7076.6297062938. The cubic root of 50078688 is about 368.5963079517.

It can be divided in two parts, 5007 and 8688, that added together give a triangular number (13695 = T165).

The spelling of 50078688 in words is "fifty million, seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1009 1034 1056 1128 1504 1551 2018 2068 2256 3027 3102 4036 4136 4512 6054 6204 8072 8272 11099 12108 12408 16144 16544 22198 24216 24816 32288 33297 44396 47423 48432 49632 66594 88792 94846 96864 133188 142269 177584 189692 266376 284538 355168 379384 521653 532752 569076 758768 1043306 1065504 1138152 1517536 1564959 2086612 2276304 3129918 4173224 4552608 6259836 8346448 12519672 16692896 25039344 50078688