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4023262432 = 257174173353
BaseRepresentation
bin1110111111001110…
…0001110011100000
3101101101110220111201
43233303201303200
531214423344212
61503120250544
7201462111040
oct35763416340
911341426451
104023262432
111785032682
12943470a54
134c16a7a77
142a248b720
1518831cb57
hexefce1ce0

4023262432 has 192 divisors, whose sum is σ = 9981304704. Its totient is φ = 1557135360.

The previous prime is 4023262427. The next prime is 4023262447. The reversal of 4023262432 is 2342623204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4023262432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11397168 + ... + 11397520.

It is an arithmetic number, because the mean of its divisors is an integer number (51985962).

Almost surely, 24023262432 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 4023262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990652352).

4023262432 is an abundant number, since it is smaller than the sum of its proper divisors (5958042272).

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

4023262432 is a wasteful number, since it uses less digits than its factorization.

4023262432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4023262432 is about 63429.1922698059. The cubic root of 4023262432 is about 1590.4723399238.

Adding to 4023262432 its reverse (2342623204), we get a palindrome (6365885636).

The spelling of 4023262432 in words is "four billion, twenty-three million, two hundred sixty-two thousand, four hundred thirty-two".