Search a number
-
+
51037000 = 2353723317
BaseRepresentation
bin1100001010110…
…0001101001000
310120000221121021
43002230031020
5101031141000
65021522224
71156543630
oct302541510
9116027537
1051037000
1126899943
1215113374
13a75c411
146ac76c0
15473211a
hex30ac348

51037000 has 128 divisors (see below), whose sum is σ = 142871040. Its totient is φ = 16684800.

The previous prime is 51036989. The next prime is 51037003. The reversal of 51037000 is 73015.

It is not an unprimeable number, because it can be changed into a prime (51037003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160842 + ... + 161158.

It is an arithmetic number, because the mean of its divisors is an integer number (1116180).

Almost surely, 251037000 is an apocalyptic number.

51037000 is a gapful number since it is divisible by the number (50) 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 51037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71435520).

51037000 is an abundant number, since it is smaller than the sum of its proper divisors (91834040).

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

51037000 is a wasteful number, since it uses less digits than its factorization.

51037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 51037000 is about 7144.0184770198. The cubic root of 51037000 is about 370.9326362291.

The spelling of 51037000 in words is "fifty-one million, thirty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 317 322 350 460 500 575 634 644 700 805 875 920 1000 1150 1268 1288 1400 1585 1610 1750 2219 2300 2536 2875 3170 3220 3500 4025 4438 4600 5750 6340 6440 7000 7291 7925 8050 8876 11095 11500 12680 14582 15850 16100 17752 20125 22190 23000 29164 31700 32200 36455 39625 40250 44380 51037 55475 58328 63400 72910 79250 80500 88760 102074 110950 145820 158500 161000 182275 204148 221900 255185 277375 291640 317000 364550 408296 443800 510370 554750 729100 911375 1020740 1109500 1275925 1458200 1822750 2041480 2219000 2551850 3645500 5103700 6379625 7291000 10207400 12759250 25518500 51037000