Search a number
-
+
83152440 = 23335717647
BaseRepresentation
bin1001111010011…
…00111000111000
312210110120201000
410331030320320
5132241334230
612130125000
72026532640
oct475147070
9183416630
1083152440
1142a34728
1223a20760
13142c5237
14b087520
157477b60
hex4f4ce38

83152440 has 256 divisors, whose sum is σ = 335923200. Its totient is φ = 17860608.

The previous prime is 83152409. The next prime is 83152453. The reversal of 83152440 is 4425138.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128197 + ... + 128843.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 283152440 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 83152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

83152440 is an abundant number, since it is smaller than the sum of its proper divisors (252770760).

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

83152440 is a wasteful number, since it uses less digits than its factorization.

83152440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 83152440 is about 9118.7959731535. The cubic root of 83152440 is about 436.4739536424.

Adding to 83152440 its reverse (4425138), we get a palindrome (87577578).

The spelling of 83152440 in words is "eighty-three million, one hundred fifty-two thousand, four hundred forty".