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5001402400 = 255228322091
BaseRepresentation
bin1001010100001101…
…10101100000100000
3110220120000120021221
410222012311200200
540220324334100
62144141224424
7234640135051
oct45206654040
913816016257
105001402400
112137185715
12b76b62114
13619230007
14356348728
151e413201a
hex12a1b5820

5001402400 has 72 divisors (see below), whose sum is σ = 12253371984. Its totient is φ = 1993401600.

The previous prime is 5001402361. The next prime is 5001402403. The reversal of 5001402400 is 42041005.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5001402403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215355 + ... + 237445.

It is an arithmetic number, because the mean of its divisors is an integer number (170185722).

Almost surely, 25001402400 is an apocalyptic number.

5001402400 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 5001402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126685992).

5001402400 is an abundant number, since it is smaller than the sum of its proper divisors (7251969584).

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

5001402400 is a wasteful number, since it uses less digits than its factorization.

5001402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22394 (or 22381 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5001402400 is about 70720.5938889090. The cubic root of 5001402400 is about 1710.1358030833.

Adding to 5001402400 its reverse (42041005), we get a palindrome (5043443405).

The spelling of 5001402400 in words is "five billion, one million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 283 400 566 800 1132 1415 2264 2830 4528 5660 7075 9056 11320 14150 22091 22640 28300 44182 45280 56600 88364 110455 113200 176728 220910 226400 353456 441820 552275 706912 883640 1104550 1767280 2209100 3534560 4418200 6251753 8836400 12503506 17672800 25007012 31258765 50014024 62517530 100028048 125035060 156293825 200056096 250070120 312587650 500140240 625175300 1000280480 1250350600 2500701200 5001402400