Search a number
-
+
629493440 = 2652331289
BaseRepresentation
bin100101100001010…
…100111011000000
31121212111120122212
4211201110323000
52242122242230
6142244121252
721412414562
oct4541247300
91555446585
10629493440
112a3372814
12156996228
13a0554134
145d863332
153a3e6895
hex25854ec0

629493440 has 168 divisors, whose sum is σ = 1634398560. Its totient is φ = 230461440.

The previous prime is 629493437. The next prime is 629493443. The reversal of 629493440 is 44394926.

It is an interprime number because it is at equal distance from previous prime (629493437) and next prime (629493443).

It is not an unprimeable number, because it can be changed into a prime (629493443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7072916 + ... + 7073004.

Almost surely, 2629493440 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 629493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817199280).

629493440 is an abundant number, since it is smaller than the sum of its proper divisors (1004905120).

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

629493440 is a wasteful number, since it uses less digits than its factorization.

629493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 629493440 is about 25089.7078500328. The cubic root of 629493440 is about 857.0320622930.

The spelling of 629493440 in words is "six hundred twenty-nine million, four hundred ninety-three thousand, four hundred forty".