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3906875025 = 36524632
BaseRepresentation
bin1110100011011110…
…0010111010010001
3101002021110211000000
43220313202322101
531000130000100
61443401520213
7165546614124
oct35067427221
911067424000
103906875025
111725369039
129104a3069
134a3547291
14290c323bb
1517cecc900
hexe8de2e91

3906875025 has 63 divisors (see below), whose sum is σ = 7279186539. Its totient is φ = 2079166320.

The previous prime is 3906875017. The next prime is 3906875051. The reversal of 3906875025 is 5205786093.

It is a happy number.

The square root of 3906875025 is 62505.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1406475009 + 2500400016 = 37503^2 + 50004^2 .

It is not a de Polignac number, because 3906875025 - 23 = 3906875017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 62 ways as a sum of consecutive naturals, for example, 8437944 + ... + 8438406.

Almost surely, 23906875025 is an apocalyptic number.

3906875025 is the 62505-th square number.

3906875025 is the 31253-rd centered octagonal number.

It is an amenable number.

3906875025 is a deficient number, since it is larger than the sum of its proper divisors (3372311514).

3906875025 is an frugal number, since it uses more digits than its factorization.

3906875025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The cubic root of 3906875025 is about 1574.9853059854.

The spelling of 3906875025 in words is "three billion, nine hundred six million, eight hundred seventy-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 463 675 729 1215 1389 2025 2315 3645 4167 6075 6945 11575 12501 18225 20835 34725 37503 62505 104175 112509 187515 214369 312525 337527 562545 643107 937575 1071845 1687635 1929321 2812725 3215535 5359225 5787963 8438175 9646605 16077675 17363889 28939815 48233025 52091667 86819445 144699075 156275001 260458335 434097225 781375005 1302291675 3906875025