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3850078401 = 32132372432
BaseRepresentation
bin1110010101111011…
…1000100011000001
3100221022121020200100
43211132320203001
530341110002101
61434012313013
7164260061241
oct34536704301
910838536610
103850078401
1116a62a5984
128b5472769
1349484c400
14287489b21
1517800de86
hexe57b88c1

3850078401 has 81 divisors (see below), whose sum is σ = 6336349929. Its totient is φ = 2251634112.

The previous prime is 3850078369. The next prime is 3850078429. The reversal of 3850078401 is 1048700583.

The square root of 3850078401 is 62049.

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

3850078401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15992001 + 3834086400 = 3999^2 + 61920^2 .

It is not a de Polignac number, because 3850078401 - 25 = 3850078369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3850078481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 89536686 + ... + 89536728.

Almost surely, 23850078401 is an apocalyptic number.

3850078401 is the 62049-th square number.

3850078401 is the 31025-th centered octagonal number.

It is an amenable number.

3850078401 is a deficient number, since it is larger than the sum of its proper divisors (2486271528).

3850078401 is a wasteful number, since it uses less digits than its factorization.

3850078401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 3850078401 is about 1567.3158459819.

Multiplying 3850078401 by its sum of digits (36), we get a square (138602822436 = 3722942).

Adding to 3850078401 its reverse (1048700583), we get a palindrome (4898778984).

The spelling of 3850078401 in words is "three billion, eight hundred fifty million, seventy-eight thousand, four hundred one".

Divisors: 1 3 9 13 37 39 43 111 117 129 169 333 387 481 507 559 1369 1443 1521 1591 1677 1849 4107 4329 4773 5031 5547 6253 7267 12321 14319 16641 17797 18759 20683 21801 24037 53391 56277 58867 62049 65403 68413 72111 160173 176601 186147 205239 216333 231361 268879 312481 529803 615717 694083 765271 806637 889369 937443 2082249 2295813 2419911 2531281 2668107 2812329 6887439 7593843 8004321 9948523 11561797 22781529 29845569 32906653 34685391 89536707 98719959 104056173 296159877 427786489 1283359467 3850078401