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5032105440 = 253510483553
BaseRepresentation
bin1001010111110111…
…11101010111100000
3110222200210102221120
410223323331113200
540301204333230
62151155252240
7235462122225
oct45373752740
913880712846
105032105440
11215254632a
12b852aa080
136226bccab
1435a45b94c
151e6b99310
hex12befd5e0

5032105440 has 48 divisors (see below), whose sum is σ = 15851133648. Its totient is φ = 1341894656.

The previous prime is 5032105399. The next prime is 5032105447. The reversal of 5032105440 is 445012305.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5032105440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032105447) 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, 5241297 + ... + 5242256.

It is an arithmetic number, because the mean of its divisors is an integer number (330231951).

Almost surely, 25032105440 is an apocalyptic number.

It is an amenable number.

5032105440 is an abundant number, since it is smaller than the sum of its proper divisors (10819028208).

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

5032105440 is a wasteful number, since it uses less digits than its factorization.

5032105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483571 (or 10483563 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5032105440 is about 70937.3345989261. The cubic root of 5032105440 is about 1713.6281095193.

Adding to 5032105440 its reverse (445012305), we get a palindrome (5477117745).

The spelling of 5032105440 in words is "five billion, thirty-two million, one hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10483553 20967106 31450659 41934212 52417765 62901318 83868424 104835530 125802636 157253295 167736848 209671060 251605272 314506590 335473696 419342120 503210544 629013180 838684240 1006421088 1258026360 1677368480 2516052720 5032105440