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3874004784 = 2432133755931
BaseRepresentation
bin1110011011101000…
…1001111100110000
3100222222121211111200
43212322021330300
530413221123114
61440225211200
7165000332406
oct34672117460
910888554450
103874004784
111708858151
12901490b00
134997a8a30
1428a717476
1517a188409
hexe6e89f30

3874004784 has 120 divisors (see below), whose sum is σ = 11991597072. Its totient is φ = 1159764480.

The previous prime is 3874004773. The next prime is 3874004801. The reversal of 3874004784 is 4874004783.

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 23 ways as a sum of consecutive naturals, for example, 41299 + ... + 97229.

Almost surely, 23874004784 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 3874004784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995798536).

3874004784 is an abundant number, since it is smaller than the sum of its proper divisors (8117592288).

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

3874004784 is a wasteful number, since it uses less digits than its factorization.

3874004784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55995 (or 55986 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3874004784 is about 62241.5037093417. The cubic root of 3874004784 is about 1570.5558479173. Note that the first 3 decimals are identical.

Subtracting 3874004784 from its reverse (4874004783), we obtain a palindrome (999999999).

The spelling of 3874004784 in words is "three billion, eight hundred seventy-four million, four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 888 936 962 1332 1443 1776 1872 1924 2664 2886 3848 4329 5328 5772 7696 8658 11544 17316 23088 34632 55931 69264 111862 167793 223724 335586 447448 503379 671172 727103 894896 1006758 1342344 1454206 2013516 2069447 2181309 2684688 2908412 4027032 4138894 4362618 5816824 6208341 6543927 8054064 8277788 8725236 11633648 12416682 13087854 16555576 17450472 18625023 24833364 26175708 26902811 33111152 34900944 37250046 49666728 52351416 53805622 74500092 80708433 99333456 104702832 107611244 149000184 161416866 215222488 242125299 298000368 322833732 430444976 484250598 645667464 968501196 1291334928 1937002392 3874004784