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40004800384 = 271781122669
BaseRepresentation
bin100101010000011110…
…001100111110000000
310211021000002102101111
4211100132030332000
51123412212103014
630213345413104
72614233123043
oct452036147600
9124230072344
1040004800384
1115a697376aa
12790563a194
133a07073523
141d1709ac5a
1510921342c4
hex95078cf80

40004800384 has 64 divisors (see below), whose sum is σ = 84492903600. Its totient is φ = 18801745920.

The previous prime is 40004800379. The next prime is 40004800397. The reversal of 40004800384 is 48300840004.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1753402 + ... + 1776070.

Almost surely, 240004800384 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 40004800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42246451800).

40004800384 is an abundant number, since it is smaller than the sum of its proper divisors (44488103216).

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

40004800384 is a wasteful number, since it uses less digits than its factorization.

40004800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23511 (or 23499 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 40004800384 in words is "forty billion, four million, eight hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 811 1088 1622 2176 3244 6488 12976 13787 22669 25952 27574 45338 51904 55148 90676 103808 110296 181352 220592 362704 385373 441184 725408 770746 882368 1450816 1541492 1764736 2901632 3082984 6165968 12331936 18384559 24663872 36769118 49327744 73538236 147076472 294152944 312537503 588305888 625075006 1176611776 1250150012 2353223552 2500300024 5000600048 10001200096 20002400192 40004800384