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5005888240 = 24596764709
BaseRepresentation
bin1001010100101111…
…11100101011110000
3110220212110110201011
410222113330223300
540223001410430
62144421320304
7235023230233
oct45227745360
913825413634
105005888240
112139769a21
12b78566094
1361a140a62
14356b9541a
151e471b22a
hex12a5fcaf0

5005888240 has 40 divisors (see below), whose sum is σ = 11650906080. Its totient is φ = 2000253696.

The previous prime is 5005888229. The next prime is 5005888243. The reversal of 5005888240 is 428885005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5005888193 and 5005888202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005888243) 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, 45006 + ... + 109714.

It is an arithmetic number, because the mean of its divisors is an integer number (291272652).

Almost surely, 25005888240 is an apocalyptic number.

It is an amenable number.

5005888240 is an abundant number, since it is smaller than the sum of its proper divisors (6645017840).

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

5005888240 is a wasteful number, since it uses less digits than its factorization.

5005888240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65689 (or 65683 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 5005888240 is about 70752.3020120194. The cubic root of 5005888240 is about 1710.6469332681.

The spelling of 5005888240 in words is "five billion, five million, eight hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 967 1934 3868 4835 7736 9670 15472 19340 38680 64709 77360 129418 258836 323545 517672 647090 1035344 1294180 2588360 5176720 62573603 125147206 250294412 312868015 500588824 625736030 1001177648 1251472060 2502944120 5005888240