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5462030640 = 2435111727159
BaseRepresentation
bin1010001011000111…
…11111100100110000
3112002122202220110010
411011203333210300
542141234440030
62301554134520
7252232331403
oct50543774460
915078686403
105462030640
1123531a0510
121085281440
136907ab4c1
1439b5b1d3a
1521e7be6b0
hex1458ff930

5462030640 has 240 divisors, whose sum is σ = 19624815360. Its totient is φ = 1246064640.

The previous prime is 5462030617. The next prime is 5462030641. The reversal of 5462030640 is 460302645.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5462030598 and 5462030607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462030641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759381 + ... + 766539.

It is an arithmetic number, because the mean of its divisors is an integer number (81770064).

Almost surely, 25462030640 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 5462030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812407680).

5462030640 is an abundant number, since it is smaller than the sum of its proper divisors (14162784720).

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

5462030640 is a wasteful number, since it uses less digits than its factorization.

5462030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5462030640 is about 73905.5521594961. The cubic root of 5462030640 is about 1761.1028126233.

The spelling of 5462030640 in words is "five billion, four hundred sixty-two million, thirty thousand, six hundred forty".