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3899543904 = 253322919709
BaseRepresentation
bin1110100001101110…
…0101000101100000
3101001202200100121000
43220123211011200
530441240401104
61442540432000
7165430401444
oct35033450540
911052610530
103899543904
111721211063
12909b48600
134a1b7b439
1428dc84824
1517c530639
hexe86e5160

3899543904 has 96 divisors (see below), whose sum is σ = 11423916000. Its totient is φ = 1294106112.

The previous prime is 3899543903. The next prime is 3899543911. The reversal of 3899543904 is 4093459983.

3899543904 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 543 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38995439042 = 30412885318447122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3899543903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188002 + ... + 207710.

It is an arithmetic number, because the mean of its divisors is an integer number (118999125).

Almost surely, 23899543904 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 3899543904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711958000).

3899543904 is an abundant number, since it is smaller than the sum of its proper divisors (7524372096).

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

3899543904 is a wasteful number, since it uses less digits than its factorization.

3899543904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19957 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3899543904 is about 62446.3281866916. The cubic root of 3899543904 is about 1573.9995533087. Note that the first 3 decimals are identical.

The spelling of 3899543904 in words is "three billion, eight hundred ninety-nine million, five hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 288 432 458 687 864 916 1374 1832 2061 2748 3664 4122 5496 6183 7328 8244 10992 12366 16488 19709 21984 24732 32976 39418 49464 59127 65952 78836 98928 118254 157672 177381 197856 236508 315344 354762 473016 532143 630688 709524 946032 1064286 1419048 1892064 2128572 2838096 4257144 4513361 5676192 8514288 9026722 13540083 17028576 18053444 27080166 36106888 40620249 54160332 72213776 81240498 108320664 121860747 144427552 162480996 216641328 243721494 324961992 433282656 487442988 649923984 974885976 1299847968 1949771952 3899543904