Search a number
-
+
50363424 = 253371821
BaseRepresentation
bin1100000000011…
…1110000100000
310111202201122000
43000013300200
5100343112144
64555244000
71151040066
oct300076040
9114681560
1050363424
1126479871
1214a49600
13a584957
146990036
15464c769
hex3007c20

50363424 has 96 divisors (see below), whose sum is σ = 149143680. Its totient is φ = 16531200.

The previous prime is 50363419. The next prime is 50363429. The reversal of 50363424 is 42436305.

50363424 is a `hidden beast` number, since 5 + 0 + 3 + 634 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (50363419) and next prime (50363429).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (50363429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60934 + ... + 61754.

It is an arithmetic number, because the mean of its divisors is an integer number (1553580).

Almost surely, 250363424 is an apocalyptic number.

50363424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571840).

50363424 is an abundant number, since it is smaller than the sum of its proper divisors (98780256).

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

50363424 is a wasteful number, since it uses less digits than its factorization.

50363424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 50363424 is about 7096.7192420160. The cubic root of 50363424 is about 369.2935729707.

Adding to 50363424 its reverse (42436305), we get a palindrome (92799729).

The spelling of 50363424 in words is "fifty million, three hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 821 852 864 1136 1278 1642 1704 1917 2272 2463 2556 3284 3408 3834 4926 5112 6568 6816 7389 7668 9852 10224 13136 14778 15336 19704 20448 22167 26272 29556 30672 39408 44334 58291 59112 61344 78816 88668 116582 118224 174873 177336 233164 236448 349746 354672 466328 524619 699492 709344 932656 1049238 1398984 1573857 1865312 2098476 2797968 3147714 4196952 5595936 6295428 8393904 12590856 16787808 25181712 50363424