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3976471000 = 235310139371
BaseRepresentation
bin1110110100000100…
…0010000111011000
3101021010102122201201
43231001002013120
531120434033000
61454325323544
7200353305625
oct35501020730
911233378651
103976471000
111760683577
1292b8665b4
134b4aa3c28
1429a18b34c
1518417896a
hexed0421d8

3976471000 has 64 divisors (see below), whose sum is σ = 9397308960. Its totient is φ = 1574800000.

The previous prime is 3976470997. The next prime is 3976471001. The reversal of 3976471000 is 1746793.

It is a super-3 number, since 3×39764710003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976471001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81315 + ... + 120685.

Almost surely, 23976471000 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 3976471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698654480).

3976471000 is an abundant number, since it is smaller than the sum of its proper divisors (5420837960).

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

3976471000 is a wasteful number, since it uses less digits than its factorization.

3976471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39493 (or 39479 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 3976471000 is about 63059.2657743491. The cubic root of 3976471000 is about 1584.2824325057.

The spelling of 3976471000 in words is "three billion, nine hundred seventy-six million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 39371 50500 78742 101000 157484 196855 314968 393710 787420 984275 1574840 1968550 3937100 3976471 4921375 7874200 7952942 9842750 15905884 19685500 19882355 31811768 39371000 39764710 79529420 99411775 159058840 198823550 397647100 497058875 795294200 994117750 1988235500 3976471000