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3987700440 = 2335231444819
BaseRepresentation
bin1110110110101111…
…0111101011011000
3101021220120011121220
43231223313223120
531131322403230
61455410132040
7200550615543
oct35553675330
911256504556
103987700440
111766a533a9
12933581020
134b7206279
1429b87185a
15185145d10
hexedaf7ad8

3987700440 has 64 divisors (see below), whose sum is σ = 12483244800. Its totient is φ = 1017151872.

The previous prime is 3987700427. The next prime is 3987700471. The reversal of 3987700440 is 440077893.

It is a junction number, because it is equal to n+sod(n) for n = 3987700392 and 3987700401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719650 + ... + 725169.

It is an arithmetic number, because the mean of its divisors is an integer number (195050700).

Almost surely, 23987700440 is an apocalyptic number.

3987700440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3987700440 is an abundant number, since it is smaller than the sum of its proper divisors (8495544360).

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

3987700440 is a wasteful number, since it uses less digits than its factorization.

3987700440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444856 (or 1444852 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3987700440 is about 63148.2417807495. The cubic root of 3987700440 is about 1585.7723535961.

The spelling of 3987700440 in words is "three billion, nine hundred eighty-seven million, seven hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 1444819 2889638 4334457 5779276 7224095 8668914 11558552 14448190 17337828 21672285 28896380 33230837 34675656 43344570 57792760 66461674 86689140 99692511 132923348 166154185 173378280 199385022 265846696 332308370 398770044 498462555 664616740 797540088 996925110 1329233480 1993850220 3987700440