Search a number
-
+
50861328 = 24371931257
BaseRepresentation
bin1100001000000…
…1010100010000
310112201000121220
43002001110100
5101010030303
65014045040
71155212520
oct302012420
9115630556
1050861328
1126789961
1215049780
13a6ca47b
146a7d680
1546ea053
hex3081510

50861328 has 160 divisors (see below), whose sum is σ = 163799040. Its totient is φ = 13271040.

The previous prime is 50861323. The next prime is 50861357. The reversal of 50861328 is 82316805.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (50861323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 197776 + ... + 198032.

It is an arithmetic number, because the mean of its divisors is an integer number (1023744).

Almost surely, 250861328 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 50861328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81899520).

50861328 is an abundant number, since it is smaller than the sum of its proper divisors (112937712).

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

50861328 is a wasteful number, since it uses less digits than its factorization.

50861328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 50861328 is about 7131.7128377410. The cubic root of 50861328 is about 370.5065572043.

The spelling of 50861328 in words is "fifty million, eight hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 257 266 304 336 372 399 434 456 496 514 532 589 651 744 771 798 868 912 1028 1064 1178 1302 1488 1542 1596 1736 1767 1799 2056 2128 2356 2604 3084 3192 3472 3534 3598 4112 4123 4712 4883 5208 5397 6168 6384 7068 7196 7967 8246 9424 9766 10416 10794 12336 12369 14136 14392 14649 15934 16492 19532 21588 23901 24738 28272 28784 29298 31868 32984 34181 39064 43176 47802 49476 55769 58596 63736 65968 68362 78128 86352 95604 98952 102543 111538 117192 127472 136724 151373 167307 191208 197904 205086 223076 234384 273448 302746 334614 382416 410172 446152 454119 546896 605492 669228 820344 892304 908238 1059611 1210984 1338456 1640688 1816476 2119222 2421968 2676912 3178833 3632952 4238444 6357666 7265904 8476888 12715332 16953776 25430664 50861328