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3848470848 = 263210961297
BaseRepresentation
bin1110010101100011…
…0000000101000000
3100221012120120112100
43211120300011000
530340202031343
61433514030400
7164240314425
oct34530600500
910835516470
103848470848
1116a53a8122
128b4a18400
134944087b1
1428718bd4c
15177ce29d3
hexe5630140

3848470848 has 84 divisors (see below), whose sum is σ = 11132329780. Its totient is φ = 1271033856.

The previous prime is 3848470841. The next prime is 3848470849. The reversal of 3848470848 is 8480748483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1860024384 + 1988446464 = 43128^2 + 44592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3848470794 and 3848470803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848470841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32136 + ... + 93432.

Almost surely, 23848470848 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 3848470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566164890).

3848470848 is an abundant number, since it is smaller than the sum of its proper divisors (7283858932).

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

3848470848 is a wasteful number, since it uses less digits than its factorization.

3848470848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61424 (or 61411 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The square root of 3848470848 is about 62036.0447481946. The cubic root of 3848470848 is about 1567.0976777806.

The spelling of 3848470848 in words is "three billion, eight hundred forty-eight million, four hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 576 654 872 981 1308 1744 1962 2616 3488 3924 5232 6976 7848 10464 15696 20928 31392 61297 62784 122594 183891 245188 367782 490376 551673 735564 980752 1103346 1471128 1961504 2206692 2942256 3923008 4413384 5884512 6681373 8826768 11769024 13362746 17653536 20044119 26725492 35307072 40088238 53450984 60132357 80176476 106901968 120264714 160352952 213803936 240529428 320705904 427607872 481058856 641411808 962117712 1282823616 1924235424 3848470848