Search a number
-
+
632465152 = 2811792843
BaseRepresentation
bin100101101100101…
…010011100000000
31122002002120002021
4211230222130000
52243402341102
6142431531224
721446602504
oct4554523400
91562076067
10632465152
112a5012480
12157989b14
13a1054947
145ddd8304
153a7d2137
hex25b2a700

632465152 has 72 divisors (see below), whose sum is σ = 1395152640. Its totient is φ = 283745280.

The previous prime is 632465137. The next prime is 632465153. The reversal of 632465152 is 251564236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632465153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221043 + ... + 223885.

It is an arithmetic number, because the mean of its divisors is an integer number (19377120).

Almost surely, 2632465152 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 632465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697576320).

632465152 is an abundant number, since it is smaller than the sum of its proper divisors (762687488).

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

632465152 is a wasteful number, since it uses less digits than its factorization.

632465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2935 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 632465152 is about 25148.8598548721. The cubic root of 632465152 is about 858.3785710115.

The spelling of 632465152 in words is "six hundred thirty-two million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 256 316 352 632 704 869 1264 1408 1738 2528 2816 2843 3476 5056 5686 6952 10112 11372 13904 20224 22744 27808 31273 45488 55616 62546 90976 111232 125092 181952 222464 224597 250184 363904 449194 500368 727808 898388 1000736 1796776 2001472 2470567 3593552 4002944 4941134 7187104 8005888 9882268 14374208 19764536 28748416 39529072 57496832 79058144 158116288 316232576 632465152