Search a number
-
+
232507728 = 24321614637
BaseRepresentation
bin11011101101111…
…00100101010000
3121012111121122100
431312330211100
5434010221403
635023240400
75522166045
oct1566744520
9535447570
10232507728
1110a276552
1265a49100
133922984b
1422c451cc
151562b2a3
hexddbc950

232507728 has 30 divisors (see below), whose sum is σ = 650699114. Its totient is φ = 77502528.

The previous prime is 232507727. The next prime is 232507753. The reversal of 232507728 is 827705232.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 230796864 + 1710864 = 15192^2 + 1308^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232507692 and 232507701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232507727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 807175 + ... + 807462.

Almost surely, 2232507728 is an apocalyptic number.

It is an amenable number.

232507728 is an abundant number, since it is smaller than the sum of its proper divisors (418191386).

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

232507728 is a wasteful number, since it uses less digits than its factorization.

232507728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614651 (or 1614642 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 232507728 is about 15248.2040909741. The cubic root of 232507728 is about 614.9112860337.

The spelling of 232507728 in words is "two hundred thirty-two million, five hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1614637 3229274 4843911 6458548 9687822 12917096 14531733 19375644 25834192 29063466 38751288 58126932 77502576 116253864 232507728