Search a number
-
+
51980000 = 255423113
BaseRepresentation
bin1100011001001…
…0011011100000
310121210212011012
43012102123200
5101301330000
65054040052
71200552122
oct306223340
9117725135
1051980000
1127383386
12154a9028
13a9cc6c7
146c91212
15486b735
hex31926e0

51980000 has 120 divisors (see below), whose sum is σ = 134619408. Its totient is φ = 19712000.

The previous prime is 51979951. The next prime is 51980009. The reversal of 51980000 is 8915.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51980009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459944 + ... + 460056.

Almost surely, 251980000 is an apocalyptic number.

51980000 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 51980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67309704).

51980000 is an abundant number, since it is smaller than the sum of its proper divisors (82639408).

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

51980000 is a wasteful number, since it uses less digits than its factorization.

51980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 51980000 is about 7209.7156670704. The cubic root of 51980000 is about 373.2032568383.

Adding to 51980000 its reverse (8915), we get a palindrome (51988915).

The spelling of 51980000 in words is "fifty-one million, nine hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 113 115 125 160 184 200 226 230 250 368 400 452 460 500 565 575 625 736 800 904 920 1000 1130 1150 1250 1808 1840 2000 2260 2300 2500 2599 2825 2875 3616 3680 4000 4520 4600 5000 5198 5650 5750 9040 9200 10000 10396 11300 11500 12995 14125 14375 18080 18400 20000 20792 22600 23000 25990 28250 28750 41584 45200 46000 51980 56500 57500 64975 70625 83168 90400 92000 103960 113000 115000 129950 141250 207920 226000 230000 259900 282500 324875 415840 452000 460000 519800 565000 649750 1039600 1130000 1299500 1624375 2079200 2260000 2599000 3248750 5198000 6497500 10396000 12995000 25990000 51980000