Search a number
-
+
51730164 = 2234672383
BaseRepresentation
bin1100010101010…
…1011011110100
310121100011110000
43011111123310
5101220331124
65044431300
71165461543
oct305253364
9117304400
1051730164
1127222702
12153a8530
13a942a85
146c2815a
15481c6c9
hex31556f4

51730164 has 60 divisors (see below), whose sum is σ = 137308864. Its totient is φ = 16978896.

The previous prime is 51730163. The next prime is 51730183. The reversal of 51730164 is 46103715.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51730163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20517 + ... + 22899.

Almost surely, 251730164 is an apocalyptic number.

51730164 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 51730164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68654432).

51730164 is an abundant number, since it is smaller than the sum of its proper divisors (85578700).

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

51730164 is a wasteful number, since it uses less digits than its factorization.

51730164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51730164 is about 7192.3684555228. The cubic root of 51730164 is about 372.6043765579.

Adding to 51730164 its reverse (46103715), we get a palindrome (97833879).

The spelling of 51730164 in words is "fifty-one million, seven hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1809 2383 2412 3618 4766 5427 7149 7236 9532 10854 14298 21447 21708 28596 42894 64341 85788 128682 159661 193023 257364 319322 386046 478983 638644 772092 957966 1436949 1915932 2873898 4310847 5747796 8621694 12932541 17243388 25865082 51730164