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4005225525 = 352729503523
BaseRepresentation
bin1110111010111010…
…1110010000110101
3101100010112112112010
43232232232100311
531200314204100
61501233514433
7201152566230
oct35656562065
911303475463
104005225525
111775933244
12939412a19
134baa31042
1429dd14417
15186958750
hexeebae435

4005225525 has 96 divisors (see below), whose sum is σ = 7859496960. Its totient is φ = 1760935680.

The previous prime is 4005225491. The next prime is 4005225541. The reversal of 4005225525 is 5255225004.

It is not a de Polignac number, because 4005225525 - 210 = 4005224501 is a prime.

It is a super-2 number, since 2×40052255252 = 32083663012223051250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4005225492 and 4005225501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7657914 + ... + 7658436.

It is an arithmetic number, because the mean of its divisors is an integer number (81869760).

Almost surely, 24005225525 is an apocalyptic number.

It is an amenable number.

4005225525 is a deficient number, since it is larger than the sum of its proper divisors (3854271435).

4005225525 is a wasteful number, since it uses less digits than its factorization.

4005225525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 4005225525 is about 63286.8511224883. The cubic root of 4005225525 is about 1588.0920014978.

The spelling of 4005225525 in words is "four billion, five million, two hundred twenty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 75 87 105 145 175 203 435 503 523 525 609 725 1015 1509 1569 2175 2515 2615 3045 3521 3661 5075 7545 7845 10563 10983 12575 13075 14587 15167 15225 17605 18305 37725 39225 43761 45501 52815 54915 72935 75835 88025 91525 102109 106169 218805 227505 263069 264075 274575 306327 318507 364675 379175 510545 530845 789207 1094025 1137525 1315345 1531635 1592535 1841483 2552725 2654225 3946035 5524449 6576725 7629001 7658175 7962675 9207415 19730175 22887003 27622245 38145005 46037075 53403007 114435015 138111225 160209021 190725025 267015035 572175075 801045105 1335075175 4005225525