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50083929 = 32723372
BaseRepresentation
bin1011111100001…
…1100001011001
310111020112020100
42333003201121
5100310141204
64545250013
71145464200
oct277034131
9114215210
1050083929
11262a8885
1214933909
13a4b767c
14691a237
1545e4a39
hex2fc3859

50083929 has 27 divisors (see below), whose sum is σ = 84405087. Its totient is φ = 28534464.

The previous prime is 50083927. The next prime is 50083931. The reversal of 50083929 is 92938005.

The square root of 50083929 is 7077.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (50083927) and next prime (50083931).

It can be written as a sum of positive squares in only one way, i.e., 13505625 + 36578304 = 3675^2 + 6048^2 .

It is not a de Polignac number, because 50083929 - 21 = 50083927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 50083893 and 50083902.

It is not an unprimeable number, because it can be changed into a prime (50083927) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148449 + ... + 148785.

Almost surely, 250083929 is an apocalyptic number.

50083929 is the 7077-th square number.

50083929 is the 3539-th centered octagonal number.

It is an amenable number.

50083929 is a deficient number, since it is larger than the sum of its proper divisors (34321158).

50083929 is an equidigital number, since it uses as much as digits as its factorization.

50083929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 50083929 is about 368.6091660219.

Multiplying 50083929 by its sum of digits (36), we get a square (1803021444 = 424622).

The spelling of 50083929 in words is "fifty million, eighty-three thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 337 441 1011 2359 3033 7077 16513 21231 49539 113569 148617 340707 794983 1022121 2384949 5564881 7154847 16694643 50083929