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50100032 = 264161313
BaseRepresentation
bin1011111100011…
…1011101000000
310111021100022202
42333013131000
5100311200112
64545452332
71145562143
oct277073500
9114240282
1050100032
1126309994
12149410a8
13a4c1ab8
14692205a
1545e96c2
hex2fc7740

50100032 has 56 divisors (see below), whose sum is σ = 103842312. Its totient is φ = 23961600.

The previous prime is 50100013. The next prime is 50100053. The reversal of 50100032 is 23000105.

It can be written as a sum of positive squares in 4 ways, for example, as 13424896 + 36675136 = 3664^2 + 6056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 50099986 and 50100022.

It is a congruent number.

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, 159908 + ... + 160220.

It is an arithmetic number, because the mean of its divisors is an integer number (1854327).

Almost surely, 250100032 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 50100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51921156).

50100032 is an abundant number, since it is smaller than the sum of its proper divisors (53742280).

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

50100032 is a wasteful number, since it uses less digits than its factorization.

50100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 50100032 is about 7078.1376081565. The cubic root of 50100032 is about 368.6486668989.

Adding to 50100032 its reverse (23000105), we get a palindrome (73100137).

The spelling of 50100032 in words is "fifty million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 164 244 313 328 488 626 656 976 1252 1312 1952 2501 2504 2624 3904 5002 5008 10004 10016 12833 19093 20008 20032 25666 38186 40016 51332 76372 80032 102664 152744 160064 205328 305488 410656 610976 782813 821312 1221952 1565626 3131252 6262504 12525008 25050016 50100032