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50080128 = 273731601
BaseRepresentation
bin1011111100001…
…0100110000000
310111020100000120
42333002212000
5100310031003
64545220240
71145450130
oct277024600
9114210016
1050080128
11262a5a3a
1214931680
13a4b5a17
146918ac0
1545e3853
hex2fc2980

50080128 has 128 divisors (see below), whose sum is σ = 157194240. Its totient is φ = 13824000.

The previous prime is 50080123. The next prime is 50080133. The reversal of 50080128 is 82108005.

It is an interprime number because it is at equal distance from previous prime (50080123) and next prime (50080133).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 50080098 and 50080107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50080123) 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 15 ways as a sum of consecutive naturals, for example, 83028 + ... + 83628.

It is an arithmetic number, because the mean of its divisors is an integer number (1228080).

Almost surely, 250080128 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 50080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78597120).

50080128 is an abundant number, since it is smaller than the sum of its proper divisors (107114112).

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

50080128 is a wasteful number, since it uses less digits than its factorization.

50080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 50080128 is about 7076.7314489106. The cubic root of 50080128 is about 368.5998408823.

The spelling of 50080128 in words is "fifty million, eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 601 651 672 744 868 896 992 1202 1302 1344 1488 1736 1803 1984 2404 2604 2688 2976 3472 3606 3968 4207 4808 5208 5952 6944 7212 8414 9616 10416 11904 12621 13888 14424 16828 18631 19232 20832 25242 27776 28848 33656 37262 38464 41664 50484 55893 57696 67312 74524 76928 83328 100968 111786 115392 130417 134624 149048 201936 223572 230784 260834 269248 298096 391251 403872 447144 521668 538496 596192 782502 807744 894288 1043336 1192384 1565004 1615488 1788576 2086672 2384768 3130008 3577152 4173344 6260016 7154304 8346688 12520032 16693376 25040064 50080128