Search a number
-
+
51649232 = 2429157709
BaseRepresentation
bin1100010100000…
…1101011010000
310121012001102112
43011001223100
5101210233412
65043004452
71165003565
oct305015320
9117161375
1051649232
1127177918
1215369728
13a914c9b
146c0686c
154803722
hex3141ad0

51649232 has 40 divisors (see below), whose sum is σ = 104327400. Its totient is φ = 24740352.

The previous prime is 51649231. The next prime is 51649267. The reversal of 51649232 is 23294615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 51208336 = 664^2 + 7156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51649231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72494 + ... + 73202.

It is an arithmetic number, because the mean of its divisors is an integer number (2608185).

Almost surely, 251649232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51649232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52163700).

51649232 is an abundant number, since it is smaller than the sum of its proper divisors (52678168).

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

51649232 is a wasteful number, since it uses less digits than its factorization.

51649232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 51649232 is about 7186.7400119943. The cubic root of 51649232 is about 372.4099615723.

The spelling of 51649232 in words is "fifty-one million, six hundred forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 709 1256 1418 2512 2836 4553 5672 9106 11344 18212 20561 36424 41122 72848 82244 111313 164488 222626 328976 445252 890504 1781008 3228077 6456154 12912308 25824616 51649232