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5057631400 = 2352311137219
BaseRepresentation
bin1001011010111010…
…10101010010101000
3111001110211021222111
410231131111102220
540324223201100
62153510332104
7236222105023
oct45535252250
914043737874
105057631400
1121659a0368
12b9195a034
13627a89703
1435d9c41ba
151e903c6ba
hex12d7554a8

5057631400 has 96 divisors (see below), whose sum is σ = 12247430400. Its totient is φ = 1940198400.

The previous prime is 5057631389. The next prime is 5057631401. The reversal of 5057631400 is 41367505.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5057631401) 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, 696991 + ... + 704209.

It is an arithmetic number, because the mean of its divisors is an integer number (127577400).

Almost surely, 25057631400 is an apocalyptic number.

5057631400 is a gapful number since it is divisible by the number (50) 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 5057631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123715200).

5057631400 is an abundant number, since it is smaller than the sum of its proper divisors (7189799000).

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

5057631400 is a wasteful number, since it uses less digits than its factorization.

5057631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 5057631400 is about 71117.0260908033. The cubic root of 5057631400 is about 1716.5207521478.

Adding to 5057631400 its reverse (41367505), we get a palindrome (5098998905).

The spelling of 5057631400 in words is "five billion, fifty-seven million, six hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 113 124 155 200 226 248 310 452 565 620 775 904 1130 1240 1550 2260 2825 3100 3503 4520 5650 6200 7006 7219 11300 14012 14438 17515 22600 28024 28876 35030 36095 57752 70060 72190 87575 140120 144380 175150 180475 223789 288760 350300 360950 447578 700600 721900 815747 895156 1118945 1443800 1631494 1790312 2237890 3262988 4078735 4475780 5594725 6525976 8157470 8951560 11189450 16314940 20393675 22378900 25288157 32629880 40787350 44757800 50576314 81574700 101152628 126440785 163149400 202305256 252881570 505763140 632203925 1011526280 1264407850 2528815700 5057631400