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50408928 = 2532383457
BaseRepresentation
bin1100000001001…
…0110111100000
310111212001001100
43000102313200
5100401041203
65000234400
71151316543
oct300226740
9114761040
1050408928
11264aaa79
1214a6ba00
13a59c58b
1469a285a
15465aea3
hex3012de0

50408928 has 72 divisors (see below), whose sum is σ = 144039168. Its totient is φ = 16722432.

The previous prime is 50408899. The next prime is 50408933. The reversal of 50408928 is 82980405.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50408892 and 50408901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110076 + ... + 110532.

It is an arithmetic number, because the mean of its divisors is an integer number (2000544).

Almost surely, 250408928 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 50408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72019584).

50408928 is an abundant number, since it is smaller than the sum of its proper divisors (93630240).

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

50408928 is a wasteful number, since it uses less digits than its factorization.

50408928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 50408928 is about 7099.9245066409. The cubic root of 50408928 is about 369.4047599855.

The spelling of 50408928 in words is "fifty million, four hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 457 766 914 1149 1371 1532 1828 2298 2742 3064 3447 3656 4113 4596 5484 6128 6894 7312 8226 9192 10968 12256 13788 14624 16452 18384 21936 27576 32904 36768 43872 55152 65808 110304 131616 175031 350062 525093 700124 1050186 1400248 1575279 2100372 2800496 3150558 4200744 5600992 6301116 8401488 12602232 16802976 25204464 50408928