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5864544040 = 2353115131321
BaseRepresentation
bin1010111011000110…
…11101011100101000
3120010201011201000211
411131203131130220
544002310402130
62405533310504
7265220542015
oct53543353450
916121151024
105864544040
11253a422813
121178035434
13725cbcb04
143d8c2c70c
15244ccca2a
hex15d8dd728

5864544040 has 64 divisors (see below), whose sum is σ = 13711518720. Its totient is φ = 2255040000.

The previous prime is 5864544013. The next prime is 5864544041. The reversal of 5864544040 is 404454685.

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 = 5864543984 and 5864544002.

It is not an unprimeable number, because it can be changed into a prime (5864544041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171580 + ... + 202900.

It is an arithmetic number, because the mean of its divisors is an integer number (214242480).

Almost surely, 25864544040 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 5864544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855759360).

5864544040 is an abundant number, since it is smaller than the sum of its proper divisors (7846974680).

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

5864544040 is a wasteful number, since it uses less digits than its factorization.

5864544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31514 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The square root of 5864544040 is about 76580.3110466391. The cubic root of 5864544040 is about 1803.3419436526.

The spelling of 5864544040 in words is "five billion, eight hundred sixty-four million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 151 155 248 302 310 604 620 755 1208 1240 1510 3020 4681 6040 9362 18724 23405 31321 37448 46810 62642 93620 125284 156605 187240 250568 313210 626420 970951 1252840 1941902 3883804 4729471 4854755 7767608 9458942 9709510 18917884 19419020 23647355 37835768 38838040 47294710 94589420 146613601 189178840 293227202 586454404 733068005 1172908808 1466136010 2932272020 5864544040