Search a number
-
+
2932488 = 2332132241
BaseRepresentation
bin1011001011111100001000
312111222121200
423023330020
51222314423
6142504200
733632346
oct13137410
95458550
102932488
111723249
12b95060
137b8a00
14564996
153cdd43
hex2cbf08

2932488 has 72 divisors (see below), whose sum is σ = 8635770. Its totient is φ = 898560.

The previous prime is 2932487. The next prime is 2932493. The reversal of 2932488 is 8842392.

2932488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1855044 + 1077444 = 1362^2 + 1038^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2932481) 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 17 ways as a sum of consecutive naturals, for example, 12048 + ... + 12288.

22932488 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 2932488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317885).

2932488 is an abundant number, since it is smaller than the sum of its proper divisors (5703282).

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

2932488 is a wasteful number, since it uses less digits than its factorization.

2932488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2932488 is about 1712.4508752078. The cubic root of 2932488 is about 143.1348590044.

The spelling of 2932488 in words is "two million, nine hundred thirty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 241 312 338 468 482 507 676 723 936 964 1014 1352 1446 1521 1928 2028 2169 2892 3042 3133 4056 4338 5784 6084 6266 8676 9399 12168 12532 17352 18798 25064 28197 37596 40729 56394 75192 81458 112788 122187 162916 225576 244374 325832 366561 488748 733122 977496 1466244 2932488