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50400416 = 25111311093
BaseRepresentation
bin1100000001000…
…0110010100000
310111211121101002
43000100302200
5100400303131
65000131132
71151252663
oct300206240
9114747332
1050400416
11264a4640
1214a66aa8
13a598741
14699d6da
1546586cb
hex3010ca0

50400416 has 48 divisors (see below), whose sum is σ = 109172448. Its totient is φ = 22713600.

The previous prime is 50400397. The next prime is 50400419. The reversal of 50400416 is 61400405.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (50400419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45566 + ... + 46658.

It is an arithmetic number, because the mean of its divisors is an integer number (2274426).

Almost surely, 250400416 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 50400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54586224).

50400416 is an abundant number, since it is smaller than the sum of its proper divisors (58772032).

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

50400416 is a wasteful number, since it uses less digits than its factorization.

50400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 50400416 is about 7099.3250383399. The cubic root of 50400416 is about 369.3839663785.

The spelling of 50400416 in words is "fifty million, four hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1093 1441 2096 2186 2882 4192 4372 5764 8744 11528 12023 17488 23056 24046 34976 46112 48092 96184 143183 192368 286366 384736 572732 1145464 1575013 2290928 3150026 4581856 6300052 12600104 25200208 50400416