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5465024224 = 2511311812767
BaseRepresentation
bin1010001011011110…
…11010011011100000
3112002212101222212121
411011233122123200
542143021233344
62302142234024
7252266640142
oct50557323340
915085358777
105465024224
112354955650
121086285914
136912b8c5a
1439bb50c92
1521ebb1684
hex145bda6e0

5465024224 has 96 divisors (see below), whose sum is σ = 12187348992. Its totient is φ = 2389824000.

The previous prime is 5465024203. The next prime is 5465024237. The reversal of 5465024224 is 4224205645.

It is a self number, because there is not a number n which added to its sum of digits gives 5465024224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1973689 + ... + 1976455.

It is an arithmetic number, because the mean of its divisors is an integer number (126951552).

Almost surely, 25465024224 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 5465024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093674496).

5465024224 is an abundant number, since it is smaller than the sum of its proper divisors (6722324768).

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

5465024224 is a wasteful number, since it uses less digits than its factorization.

5465024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 5465024224 is about 73925.8021532401. The cubic root of 5465024224 is about 1761.4244906887.

Adding to 5465024224 its reverse (4224205645), we get a palindrome (9689229869).

The spelling of 5465024224 in words is "five billion, four hundred sixty-five million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 181 248 341 352 362 496 682 724 992 1364 1448 1991 2728 2767 2896 3982 5456 5534 5611 5792 7964 10912 11068 11222 15928 22136 22444 30437 31856 44272 44888 60874 61721 63712 85777 88544 89776 121748 123442 171554 179552 243496 246884 343108 486992 493768 500827 686216 943547 973984 987536 1001654 1372432 1887094 1975072 2003308 2744864 3774188 4006616 5509097 7548376 8013232 11018194 15096752 15525637 16026464 22036388 30193504 31051274 44072776 62102548 88145552 124205096 170782007 176291104 248410192 341564014 496820384 683128028 1366256056 2732512112 5465024224