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484942752 = 25327415867
BaseRepresentation
bin11100111001111…
…010001110100000
31020210111122101200
4130321322032200
51443121132002
6120042001200
715005642160
oct3471721640
91223448350
10484942752
11229812738
121164a6200
1379612698
14485965a0
152c891b1c
hex1ce7a3a0

484942752 has 144 divisors (see below), whose sum is σ = 1614779712. Its totient is φ = 135152640.

The previous prime is 484942751. The next prime is 484942753. The reversal of 484942752 is 257249484.

It is an interprime number because it is at equal distance from previous prime (484942751) and next prime (484942753).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 484942698 and 484942707.

It is not an unprimeable number, because it can be changed into a prime (484942751) 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, 79723 + ... + 85589.

It is an arithmetic number, because the mean of its divisors is an integer number (11213748).

Almost surely, 2484942752 is an apocalyptic number.

484942752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807389856).

484942752 is an abundant number, since it is smaller than the sum of its proper divisors (1129836960).

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

484942752 is a wasteful number, since it uses less digits than its factorization.

484942752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5920 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 484942752 is about 22021.4157583022. The cubic root of 484942752 is about 785.6518863251.

The spelling of 484942752 in words is "four hundred eighty-four million, nine hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5867 5904 6888 9184 10332 11734 11808 13776 17601 20664 23468 27552 35202 41069 41328 46936 52803 70404 82138 82656 93872 105606 123207 140808 164276 187744 211212 240547 246414 281616 328552 369621 422424 481094 492828 563232 657104 721641 739242 844848 962188 985656 1314208 1443282 1478484 1683829 1689696 1924376 1971312 2164923 2886564 2956968 3367658 3848752 3942624 4329846 5051487 5773128 5913936 6735316 7697504 8659692 10102974 11546256 11827872 13470632 15154461 17319384 20205948 23092512 26941264 30308922 34638768 40411896 53882528 60617844 69277536 80823792 121235688 161647584 242471376 484942752