Search a number
-
+
50781168 = 243537353
BaseRepresentation
bin1100000110110…
…1101111110000
310112112221200000
43001231233300
5100444444133
65012230000
71154430024
oct301555760
9115487600
1050781168
1126734709
121500b300
13a69cb39
146a5c384
1546d1413
hex306dbf0

50781168 has 120 divisors (see below), whose sum is σ = 151792368. Its totient is φ = 16422912.

The previous prime is 50781161. The next prime is 50781169. The reversal of 50781168 is 86118705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50781161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143680 + ... + 144032.

Almost surely, 250781168 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 50781168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75896184).

50781168 is an abundant number, since it is smaller than the sum of its proper divisors (101011200).

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

50781168 is a wasteful number, since it uses less digits than its factorization.

50781168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 50781168 is about 7126.0906533667. The cubic root of 50781168 is about 370.3118092280.

The spelling of 50781168 in words is "fifty million, seven hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 353 432 444 486 592 648 666 706 888 972 999 1059 1296 1332 1412 1776 1944 1998 2118 2664 2824 2997 3177 3888 3996 4236 5328 5648 5994 6354 7992 8472 8991 9531 11988 12708 13061 15984 16944 17982 19062 23976 25416 26122 28593 35964 38124 39183 47952 50832 52244 57186 71928 76248 78366 85779 104488 114372 117549 143856 152496 156732 171558 208976 228744 235098 313464 343116 352647 457488 470196 626928 686232 705294 940392 1057941 1372464 1410588 1880784 2115882 2821176 3173823 4231764 5642352 6347646 8463528 12695292 16927056 25390584 50781168