Search a number
-
+
51500070 = 23351910039
BaseRepresentation
bin1100010001110…
…1010000100110
310120220110211000
43010131100212
5101141000240
65035454130
71163512656
oct304352046
9116813730
1051500070
1127085846
12152b7346
13a89211b
146ba8366
1547c4430
hex311d426

51500070 has 64 divisors (see below), whose sum is σ = 144576000. Its totient is φ = 13009248.

The previous prime is 51500069. The next prime is 51500077. The reversal of 51500070 is 7000515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51500077) 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 31 ways as a sum of consecutive naturals, for example, 111 + ... + 10149.

It is an arithmetic number, because the mean of its divisors is an integer number (2259000).

Almost surely, 251500070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51500070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72288000).

51500070 is an abundant number, since it is smaller than the sum of its proper divisors (93075930).

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

51500070 is a wasteful number, since it uses less digits than its factorization.

51500070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 51500070 is about 7176.3549243331. The cubic root of 51500070 is about 372.0511116035.

Adding to 51500070 its reverse (7000515), we get a palindrome (58500585).

The spelling of 51500070 in words is "fifty-one million, five hundred thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 10039 20078 30117 50195 60234 90351 100390 150585 180702 190741 271053 301170 381482 451755 542106 572223 903510 953705 1144446 1355265 1716669 1907410 2710530 2861115 3433338 5150007 5722230 8583345 10300014 17166690 25750035 51500070