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5540358432 = 253726930649
BaseRepresentation
bin1010010100011101…
…10010100100100000
3112022010011100222110
411022032302210200
542321312432212
62313433035320
7254203161330
oct51216624440
915263140873
105540358432
11239342a324
1210a7555b40
136a3aa46cb
143a7b610c0
152265e2a3c
hex14a3b2920

5540358432 has 96 divisors (see below), whose sum is σ = 16683408000. Its totient is φ = 1577023488.

The previous prime is 5540358431. The next prime is 5540358437. The reversal of 5540358432 is 2348530455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5540358431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165444 + ... + 196092.

It is an arithmetic number, because the mean of its divisors is an integer number (173785500).

Almost surely, 25540358432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5540358432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341704000).

5540358432 is an abundant number, since it is smaller than the sum of its proper divisors (11143049568).

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

5540358432 is a wasteful number, since it uses less digits than its factorization.

5540358432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30938 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 5540358432 is about 74433.5840330156. The cubic root of 5540358432 is about 1769.4812051628.

Adding to 5540358432 its reverse (2348530455), we get a palindrome (7888888887).

The spelling of 5540358432 in words is "five billion, five hundred forty million, three hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 269 336 538 672 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 22596 25824 30128 30649 45192 60256 61298 90384 91947 122596 180768 183894 214543 245192 367788 429086 490384 643629 735576 858172 980768 1287258 1471152 1716344 2574516 2942304 3432688 5149032 6865376 8244581 10298064 16489162 20596128 24733743 32978324 49467486 57712067 65956648 98934972 115424134 131913296 173136201 197869944 230848268 263826592 346272402 395739888 461696536 692544804 791479776 923393072 1385089608 1846786144 2770179216 5540358432