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3955410225 = 345213971549
BaseRepresentation
bin1110101111000010…
…1100010100110001
3101012122210122210000
43223300230110301
531100041111400
61452254100213
7200006301144
oct35360542461
911178718700
103955410225
11174a7a9278
129247aa669
134b060ba30
1429746805b
151823b8600
hexebc2c531

3955410225 has 120 divisors (see below), whose sum is σ = 7976876600. Its totient is φ = 1925959680.

The previous prime is 3955410181. The next prime is 3955410269. The reversal of 3955410225 is 5220145593.

It is a happy number.

3955410225 is a `hidden beast` number, since 3 + 95 + 541 + 0 + 2 + 25 = 666.

3955410225 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3955410181) and next prime (3955410269).

It can be written as a sum of positive squares in 12 ways, for example, as 2184347169 + 1771063056 = 46737^2 + 42084^2 .

It is not a de Polignac number, because 3955410225 - 212 = 3955406129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3955410225.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2552751 + ... + 2554299.

Almost surely, 23955410225 is an apocalyptic number.

It is an amenable number.

3955410225 is an abundant number, since it is smaller than the sum of its proper divisors (4021466375).

3955410225 is a wasteful number, since it uses less digits than its factorization.

3955410225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3955410225 is about 62892.0521608255. The cubic root of 3955410225 is about 1581.4805095482.

The spelling of 3955410225 in words is "three billion, nine hundred fifty-five million, four hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 97 117 135 195 225 291 325 351 405 485 585 675 873 975 1053 1261 1455 1549 1755 2025 2425 2619 2925 3783 4365 4647 5265 6305 7275 7745 7857 8775 11349 13095 13941 18915 20137 21825 23235 26325 31525 34047 38725 39285 41823 56745 60411 65475 69705 94575 100685 102141 116175 125469 150253 170235 181233 196425 209115 283725 302055 348525 450759 503425 510705 543699 627345 751265 851175 906165 1045575 1352277 1510275 1631097 1953289 2253795 2553525 2718495 3136725 3756325 4056831 4530825 5859867 6761385 8155485 9766445 11268975 12170493 13592475 17579601 20284155 29299335 33806925 40777425 48832225 52738803 60852465 87898005 101420775 146496675 158216409 263694015 304262325 439490025 791082045 1318470075 3955410225