Search a number
-
+
50529744 = 2434127307
BaseRepresentation
bin1100000011000…
…0010111010000
310112002011210000
43000300113100
5100413422434
65003010000
71152332016
oct300602720
9115064700
1050529744
1126582821
1214b09900
13a612575
1469d48b6
154681b99
hex30305d0

50529744 has 100 divisors (see below), whose sum is σ = 147879424. Its totient is φ = 16656192.

The previous prime is 50529737. The next prime is 50529751. The reversal of 50529744 is 44792505.

It is an interprime number because it is at equal distance from previous prime (50529737) and next prime (50529751).

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

It is a junction number, because it is equal to n+sod(n) for n = 50529699 and 50529708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164439 + ... + 164745.

Almost surely, 250529744 is an apocalyptic number.

50529744 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 50529744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73939712).

50529744 is an abundant number, since it is smaller than the sum of its proper divisors (97349680).

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

50529744 is a wasteful number, since it uses less digits than its factorization.

50529744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 50529744 is about 7108.4276742470. The cubic root of 50529744 is about 369.6996442416.

The spelling of 50529744 in words is "fifty million, five hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 254 307 324 381 432 508 614 648 762 921 1016 1143 1228 1296 1524 1842 2032 2286 2456 2763 3048 3429 3684 4572 4912 5526 6096 6858 7368 8289 9144 10287 11052 13716 14736 16578 18288 20574 22104 24867 27432 33156 38989 41148 44208 49734 54864 66312 77978 82296 99468 116967 132624 155956 164592 198936 233934 311912 350901 397872 467868 623824 701802 935736 1052703 1403604 1871472 2105406 2807208 3158109 4210812 5614416 6316218 8421624 12632436 16843248 25264872 50529744