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5476800448 = 26749924499
BaseRepresentation
bin1010001100111000…
…10101011111000000
3112010200120021211001
411012130111133000
542204030103243
62303242501344
7252502015150
oct50634253700
915120507731
105476800448
112360569269
12108a204854
13693880132
1439d538760
15220c3aa4d
hex1467157c0

5476800448 has 56 divisors (see below), whose sum is σ = 12446000000. Its totient is φ = 2342400768.

The previous prime is 5476800419. The next prime is 5476800463. The reversal of 5476800448 is 8440086745.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 5476800398 and 5476800407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211303 + ... + 235801.

It is an arithmetic number, because the mean of its divisors is an integer number (222250000).

Almost surely, 25476800448 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 5476800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223000000).

5476800448 is an abundant number, since it is smaller than the sum of its proper divisors (6969199552).

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

5476800448 is a wasteful number, since it uses less digits than its factorization.

5476800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25017 (or 25007 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The square root of 5476800448 is about 74005.4082348040. The cubic root of 5476800448 is about 1762.6887759037.

The spelling of 5476800448 in words is "five billion, four hundred seventy-six million, eight hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 499 998 1996 3493 3992 6986 7984 13972 15968 24499 27944 31936 48998 55888 97996 111776 171493 195992 223552 342986 391984 685972 783968 1371944 1567936 2743888 5487776 10975552 12225001 24450002 48900004 85575007 97800008 171150014 195600016 342300028 391200032 684600056 782400064 1369200112 2738400224 5476800448