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631488 = 263111323
BaseRepresentation
bin10011010001011000000
31012002020110
42122023000
5130201423
621311320
75240034
oct2321300
91162213
10631488
113a14a0
12265540
13191580
141261c4
15c7193
hex9a2c0

631488 has 112 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 168960.

The previous prime is 631487. The next prime is 631507. The reversal of 631488 is 884136.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27445 + ... + 27467.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2631488 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 631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

631488 is an abundant number, since it is smaller than the sum of its proper divisors (1416768).

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

631488 is a wasteful number, since it uses less digits than its factorization.

631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 631488 is about 794.6621923811. The cubic root of 631488 is about 85.7936281204.

It can be divided in two parts, 63 and 1488, that added together give a palindrome (1551).

The spelling of 631488 in words is "six hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 32 33 39 44 46 48 52 64 66 69 78 88 92 96 104 132 138 143 156 176 184 192 208 253 264 276 286 299 312 352 368 416 429 506 528 552 572 598 624 704 736 759 832 858 897 1012 1056 1104 1144 1196 1248 1472 1518 1716 1794 2024 2112 2208 2288 2392 2496 3036 3289 3432 3588 4048 4416 4576 4784 6072 6578 6864 7176 8096 9152 9568 9867 12144 13156 13728 14352 16192 19136 19734 24288 26312 27456 28704 39468 48576 52624 57408 78936 105248 157872 210496 315744 631488