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50509416 = 23329312341
BaseRepresentation
bin1100000010101…
…1011001101000
310112001010220010
43000223121220
5100412300131
65002331520
71152215526
oct300533150
9115033803
1050509416
1126569521
1214ab9ba0
13a606239
1469cb316
15467ab46
hex302b668

50509416 has 64 divisors (see below), whose sum is σ = 134899200. Its totient is φ = 15724800.

The previous prime is 50509409. The next prime is 50509427. The reversal of 50509416 is 61490505.

It is a super-2 number, since 2×505094162 = 5102402209322112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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, 20406 + ... + 22746.

It is an arithmetic number, because the mean of its divisors is an integer number (2107800).

Almost surely, 250509416 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 50509416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67449600).

50509416 is an abundant number, since it is smaller than the sum of its proper divisors (84389784).

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

50509416 is a wasteful number, since it uses less digits than its factorization.

50509416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 50509416 is about 7106.9976783449. The cubic root of 50509416 is about 369.6500611526.

The spelling of 50509416 in words is "fifty million, five hundred nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2341 2697 3596 4682 5394 7023 7192 9364 10788 14046 18728 21576 28092 56184 67889 72571 135778 145142 203667 217713 271556 290284 407334 435426 543112 580568 814668 870852 1629336 1741704 2104559 4209118 6313677 8418236 12627354 16836472 25254708 50509416