Search a number
-
+
51796000 = 255323563
BaseRepresentation
bin1100010110010…
…1100000100000
310121110111202101
43011211200200
5101224433000
65050100144
71166154514
oct305454040
9117414671
1051796000
1127268113
121541a654
13a966a29
146c44144
154831e6a
hex3165820

51796000 has 96 divisors (see below), whose sum is σ = 133031808. Its totient is φ = 19782400.

The previous prime is 51795973. The next prime is 51796013. The reversal of 51796000 is 69715.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51796000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91719 + ... + 92281.

It is an arithmetic number, because the mean of its divisors is an integer number (1385748).

Almost surely, 251796000 is an apocalyptic number.

51796000 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 51796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66515904).

51796000 is an abundant number, since it is smaller than the sum of its proper divisors (81235808).

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

51796000 is a wasteful number, since it uses less digits than its factorization.

51796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 51796000 is about 7196.9437958067. The cubic root of 51796000 is about 372.7623783926.

The spelling of 51796000 in words is "fifty-one million, seven hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 563 575 736 800 920 1000 1126 1150 1840 2000 2252 2300 2815 2875 3680 4000 4504 4600 5630 5750 9008 9200 11260 11500 12949 14075 18016 18400 22520 23000 25898 28150 45040 46000 51796 56300 64745 70375 90080 92000 103592 112600 129490 140750 207184 225200 258980 281500 323725 414368 450400 517960 563000 647450 1035920 1126000 1294900 1618625 2071840 2252000 2589800 3237250 5179600 6474500 10359200 12949000 25898000 51796000