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50346144 = 253358271
BaseRepresentation
bin1100000000001…
…1100010100000
310111201211221000
43000003202200
5100342034034
64555032000
71150635522
oct300034240
9114654830
1050346144
1126467892
1214a3b600
13a579b24
146987a12
154647599
hex30038a0

50346144 has 48 divisors (see below), whose sum is σ = 146845440. Its totient is φ = 16781760.

The previous prime is 50346137. The next prime is 50346169. The reversal of 50346144 is 44164305.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 28272 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (3059280).

Almost surely, 250346144 is an apocalyptic number.

50346144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

50346144 is an abundant number, since it is smaller than the sum of its proper divisors (96499296).

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

50346144 is a wasteful number, since it uses less digits than its factorization.

50346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58290 (or 58276 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 50346144 is about 7095.5016735957. The cubic root of 50346144 is about 369.2513325086.

The spelling of 50346144 in words is "fifty million, three hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 58271 116542 174813 233084 349626 466168 524439 699252 932336 1048878 1398504 1573317 1864672 2097756 2797008 3146634 4195512 5594016 6293268 8391024 12586536 16782048 25173072 50346144