Search a number
-
+
50326272 = 2835809
BaseRepresentation
bin1011111111111…
…0101100000000
310111200211200000
42333332230000
5100340420042
64554400000
71150523553
oct277765400
9114624600
1050326272
1126453967
1214a30000
13a570a79
14698069a
15464174c
hex2ffeb00

50326272 has 108 divisors (see below), whose sum is σ = 150663240. Its totient is φ = 16754688.

The previous prime is 50326271. The next prime is 50326301. The reversal of 50326272 is 27262305.

50326272 is a `hidden beast` number, since 5 + 0 + 32 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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 (50326271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61804 + ... + 62612.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 250326272 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 50326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75331620).

50326272 is an abundant number, since it is smaller than the sum of its proper divisors (100336968).

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

50326272 is an frugal number, since it uses more digits than its factorization.

50326272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 50326272 is about 7094.1012115701. The cubic root of 50326272 is about 369.2027440267.

Adding to 50326272 its reverse (27262305), we get a palindrome (77588577).

The spelling of 50326272 in words is "fifty million, three hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 809 864 972 1152 1296 1618 1728 1944 2304 2427 2592 3236 3456 3888 4854 5184 6472 6912 7281 7776 9708 10368 12944 14562 15552 19416 20736 21843 25888 29124 31104 38832 43686 51776 58248 62208 65529 77664 87372 103552 116496 131058 155328 174744 196587 207104 232992 262116 310656 349488 393174 465984 524232 621312 698976 786348 931968 1048464 1397952 1572696 1863936 2096928 2795904 3145392 4193856 5591808 6290784 8387712 12581568 16775424 25163136 50326272