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3975581928 = 233292431457
BaseRepresentation
bin1110110011110110…
…1001000011101000
3101021001202111011010
43230331221003220
531120222110203
61454254303520
7200342613603
oct35475510350
911231674133
103975581928
1117601265aa
1292b4b7ba0
134b4852356
14299dd933a
15184050303
hexecf690e8

3975581928 has 96 divisors (see below), whose sum is σ = 10339954560. Its totient is φ = 1273735680.

The previous prime is 3975581917. The next prime is 3975581959. The reversal of 3975581928 is 8291855793.

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, 8699076 + ... + 8699532.

It is an arithmetic number, because the mean of its divisors is an integer number (107707860).

Almost surely, 23975581928 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 3975581928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169977280).

3975581928 is an abundant number, since it is smaller than the sum of its proper divisors (6364372632).

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

3975581928 is a wasteful number, since it uses less digits than its factorization.

3975581928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 922 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The square root of 3975581928 is about 63052.2158849314. The cubic root of 3975581928 is about 1584.1643507410.

It can be divided in two parts, 3975 and 581928, that added together give a triangular number (585903 = T1082).

The spelling of 3975581928 in words is "three billion, nine hundred seventy-five million, five hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 431 457 696 841 862 914 1293 1371 1682 1724 1828 2523 2586 2742 3364 3448 3656 5046 5172 5484 6728 10092 10344 10968 12499 13253 20184 24998 26506 37497 39759 49996 53012 74994 79518 99992 106024 149988 159036 196967 299976 318072 362471 384337 393934 590901 724942 768674 787868 1087413 1153011 1181802 1449884 1537348 1575736 2174826 2306022 2363604 2899768 3074696 4349652 4612044 4727208 5712043 8699304 9224088 11424086 17136129 22848172 34272258 45696344 68544516 137089032 165649247 331298494 496947741 662596988 993895482 1325193976 1987790964 3975581928