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3840606125 = 532322412
BaseRepresentation
bin1110010011101010…
…1111111110101101
3100220122210000011022
43210322233332231
530331143344000
61433033303525
7164113420256
oct34472577655
910818700138
103840606125
1116a0a16254
128b2264ba5
134928b3b05
14286101b2d
1517728c585
hexe4eaffad

3840606125 has 36 divisors (see below), whose sum is σ = 5031408564. Its totient is φ = 2926704000.

The previous prime is 3840606113. The next prime is 3840606137. The reversal of 3840606125 is 5216060483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3840606113) and next prime (3840606137).

It can be written as a sum of positive squares in 6 ways, for example, as 430396516 + 3410209609 = 20746^2 + 58397^2 .

It is not a de Polignac number, because 3840606125 - 26 = 3840606061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15936005 + ... + 15936245.

It is an arithmetic number, because the mean of its divisors is an integer number (139761349).

Almost surely, 23840606125 is an apocalyptic number.

It is an amenable number.

3840606125 is a deficient number, since it is larger than the sum of its proper divisors (1190802439).

3840606125 is an frugal number, since it uses more digits than its factorization.

3840606125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 3840606125 is about 61972.6239964067. The cubic root of 3840606125 is about 1566.0294444644.

The spelling of 3840606125 in words is "three billion, eight hundred forty million, six hundred six thousand, one hundred twenty-five".

Divisors: 1 5 23 25 115 125 241 529 575 1205 2645 2875 5543 6025 13225 27715 30125 58081 66125 127489 138575 290405 637445 692875 1335863 1452025 3187225 6679315 7260125 15936125 30724849 33396575 153624245 166982875 768121225 3840606125