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50364960 = 2535317331
BaseRepresentation
bin1100000000100…
…0001000100000
310111202210201220
43000020020200
5100343134320
64555255040
71151044422
oct300101040
9114683656
1050364960
112647aa38
1214a4a480
13a585569
146990812
15464ce40
hex3008220

50364960 has 96 divisors (see below), whose sum is σ = 159630912. Its totient is φ = 13347840.

The previous prime is 50364959. The next prime is 50364961. The reversal of 50364960 is 6946305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50364959) and next prime (50364961).

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

It is not an unprimeable number, because it can be changed into a prime (50364961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151995 + ... + 152325.

It is an arithmetic number, because the mean of its divisors is an integer number (1662822).

Almost surely, 250364960 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 50364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79815456).

50364960 is an abundant number, since it is smaller than the sum of its proper divisors (109265952).

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

50364960 is a wasteful number, since it uses less digits than its factorization.

50364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 50364960 is about 7096.8274602107. The cubic root of 50364960 is about 369.2973272109.

The spelling of 50364960 in words is "fifty million, three hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 317 331 480 634 662 951 993 1268 1324 1585 1655 1902 1986 2536 2648 3170 3310 3804 3972 4755 4965 5072 5296 6340 6620 7608 7944 9510 9930 10144 10592 12680 13240 15216 15888 19020 19860 25360 26480 30432 31776 38040 39720 50720 52960 76080 79440 104927 152160 158880 209854 314781 419708 524635 629562 839416 1049270 1259124 1573905 1678832 2098540 2518248 3147810 3357664 4197080 5036496 6295620 8394160 10072992 12591240 16788320 25182480 50364960