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4010055625 = 541721492
BaseRepresentation
bin1110111100000100…
…1001011111001001
3101100110121221011201
43233001021133021
531203033240000
61501525224201
7201241624162
oct35701113711
911313557151
104010055625
111778632164
1293ab62061
134bba326a4
142a0810769
151870ae96a
hexef0497c9

4010055625 has 45 divisors (see below), whose sum is σ = 5359032217. Its totient is φ = 2999072000.

The previous prime is 4010055611. The next prime is 4010055641. The reversal of 4010055625 is 5265500104.

The square root of 4010055625 is 63325.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3330097849 + 679957776 = 57707^2 + 26076^2 .

It is not a de Polignac number, because 4010055625 - 25 = 4010055593 is a prime.

It is a super-2 number, since 2×40100556252 = 32161092231188281250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4010055593 and 4010055602.

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 44 ways as a sum of consecutive naturals, for example, 26913051 + ... + 26913199.

Almost surely, 24010055625 is an apocalyptic number.

4010055625 is the 63325-th square number.

4010055625 is the 31663-rd centered octagonal number.

It is an amenable number.

4010055625 is a deficient number, since it is larger than the sum of its proper divisors (1348976592).

4010055625 is an frugal number, since it uses more digits than its factorization.

4010055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The cubic root of 4010055625 is about 1588.7301313379.

Adding to 4010055625 its reverse (5265500104), we get a palindrome (9275555729).

The spelling of 4010055625 in words is "four billion, ten million, fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 149 289 425 625 745 1445 2125 2533 3725 7225 10625 12665 18625 22201 36125 43061 63325 93125 111005 180625 215305 316625 377417 555025 1076525 1583125 1887085 2775125 5382625 6416089 9435425 13875625 26913125 32080445 47177125 160402225 235885625 802011125 4010055625