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50073728 = 273797109
BaseRepresentation
bin1011111100000…
…1000010000000
310111020000020112
42333001002000
5100304324403
64545130452
71145422355
oct277010200
9114200215
1050073728
11262a1151
1214929a28
13a4b2b33
14691662c
1545e19d8
hex2fc1080

50073728 has 64 divisors (see below), whose sum is σ = 104458200. Its totient is φ = 23887872.

The previous prime is 50073719. The next prime is 50073733. The reversal of 50073728 is 82737005.

It can be written as a sum of positive squares in 4 ways, for example, as 49674304 + 399424 = 7048^2 + 632^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 50073694 and 50073703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459338 + ... + 459446.

Almost surely, 250073728 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 50073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52229100).

50073728 is an abundant number, since it is smaller than the sum of its proper divisors (54384472).

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

50073728 is a wasteful number, since it uses less digits than its factorization.

50073728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 50073728 is about 7076.2792483056. The cubic root of 50073728 is about 368.5841384499.

The spelling of 50073728 in words is "fifty million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 97 109 128 148 194 218 296 388 436 592 776 872 1184 1552 1744 2368 3104 3488 3589 4033 4736 6208 6976 7178 8066 10573 12416 13952 14356 16132 21146 28712 32264 42292 57424 64528 84584 114848 129056 169168 229696 258112 338336 391201 459392 516224 676672 782402 1353344 1564804 3129608 6259216 12518432 25036864 50073728