Search a number
-
+
50457132 = 223211472711
BaseRepresentation
bin1100000001111…
…0101000101100
310111221111011200
43000132220230
5100404112012
65001245500
71151610225
oct300365054
9114844150
1050457132
1126533210
1214a93890
13a5b84bb
1469b624c
15466a3dc
hex301ea2c

50457132 has 72 divisors (see below), whose sum is σ = 142152192. Its totient is φ = 14959200.

The previous prime is 50457109. The next prime is 50457133. The reversal of 50457132 is 23175405.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 50457096 and 50457105.

It is not an unprimeable number, because it can be changed into a prime (50457133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17257 + ... + 19967.

It is an arithmetic number, because the mean of its divisors is an integer number (1974336).

Almost surely, 250457132 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 50457132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71076096).

50457132 is an abundant number, since it is smaller than the sum of its proper divisors (91695060).

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

50457132 is a wasteful number, since it uses less digits than its factorization.

50457132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 50457132 is about 7103.3183794618. The cubic root of 50457132 is about 369.5224713699.

The spelling of 50457132 in words is "fifty million, four hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 2711 3102 4653 5422 6204 8133 9306 10844 16266 18612 24399 29821 32532 48798 59642 89463 97596 119284 127417 178926 254834 268389 357852 382251 509668 536778 764502 1073556 1146753 1401587 1529004 2293506 2803174 4204761 4587012 5606348 8409522 12614283 16819044 25228566 50457132