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433130464 = 25133672837
BaseRepresentation
bin11001110100010…
…000101111100000
31010012000022022001
4121310100233200
51341340133324
6110551253344
713506356014
oct3164205740
91105008261
10433130464
11202544368
1210107a254
136b971420
144174a544
1528059e44
hex19d10be0

433130464 has 48 divisors (see below), whose sum is σ = 921146688. Its totient is φ = 199291392.

The previous prime is 433130449. The next prime is 433130491. The reversal of 433130464 is 464031334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151254 + ... + 154090.

It is an arithmetic number, because the mean of its divisors is an integer number (19190556).

Almost surely, 2433130464 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 433130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460573344).

433130464 is an abundant number, since it is smaller than the sum of its proper divisors (488016224).

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

433130464 is a wasteful number, since it uses less digits than its factorization.

433130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 433130464 is about 20811.7866604480. The cubic root of 433130464 is about 756.6114516130.

Adding to 433130464 its reverse (464031334), we get a palindrome (897161798).

The spelling of 433130464 in words is "four hundred thirty-three million, one hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 367 416 734 1468 2837 2936 4771 5674 5872 9542 11348 11744 19084 22696 36881 38168 45392 73762 76336 90784 147524 152672 295048 590096 1041179 1180192 2082358 4164716 8329432 13535327 16658864 27070654 33317728 54141308 108282616 216565232 433130464