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3483778848 = 253113299033
BaseRepresentation
bin1100111110100110…
…0011111100100000
322222210100022011020
43033221203330200
524113321410343
61333405245440
7152221426434
oct31751437440
98883308136
103483778848
111528558680
12812863880
134369aa204
142509789c4
15155ca5b83
hexcfa63f20

3483778848 has 48 divisors (see below), whose sum is σ = 9976278816. Its totient is φ = 1055690240.

The previous prime is 3483778829. The next prime is 3483778849. The reversal of 3483778848 is 8488773843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3483778791 and 3483778800.

It is not an unprimeable number, because it can be changed into a prime (3483778849) 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 7 ways as a sum of consecutive naturals, for example, 1648461 + ... + 1650572.

It is an arithmetic number, because the mean of its divisors is an integer number (207839142).

Almost surely, 23483778848 is an apocalyptic number.

It is an amenable number.

3483778848 is an abundant number, since it is smaller than the sum of its proper divisors (6492499968).

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

3483778848 is a wasteful number, since it uses less digits than its factorization.

3483778848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299057 (or 3299049 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

The square root of 3483778848 is about 59023.5448613517. The cubic root of 3483778848 is about 1515.9452829136.

The spelling of 3483778848 in words is "three billion, four hundred eighty-three million, seven hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3299033 6598066 9897099 13196132 19794198 26392264 36289363 39588396 52784528 72578726 79176792 105569056 108868089 145157452 158353584 217736178 290314904 316707168 435472356 580629808 870944712 1161259616 1741889424 3483778848