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3972097890 = 2325311423691
BaseRepresentation
bin1110110011000001…
…0110011101100010
3101020211012110221200
43230300112131202
531113324113030
61454051502030
7200301163215
oct35460263542
911224173850
103972097890
111759166a32
1292a2b7916
134b3c025a7
1429976d77c
15183ab2d60
hexecc16762

3972097890 has 48 divisors (see below), whose sum is σ = 10660605696. Its totient is φ = 1025056800.

The previous prime is 3972097873. The next prime is 3972097919. The reversal of 3972097890 is 987902793.

3972097890 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709056 + ... + 714635.

It is an arithmetic number, because the mean of its divisors is an integer number (222095952).

Almost surely, 23972097890 is an apocalyptic number.

3972097890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3972097890 is an abundant number, since it is smaller than the sum of its proper divisors (6688507806).

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

3972097890 is a wasteful number, since it uses less digits than its factorization.

3972097890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423735 (or 1423732 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 3972097890 is about 63024.5816328835. The cubic root of 3972097890 is about 1583.7014497976.

The spelling of 3972097890 in words is "three billion, nine hundred seventy-two million, ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 1423691 2847382 4271073 7118455 8542146 12813219 14236910 21355365 25626438 42710730 44134421 64066095 88268842 128132190 132403263 220672105 264806526 397209789 441344210 662016315 794419578 1324032630 1986048945 3972097890