Search a number
-
+
4070567601 = 361721392
BaseRepresentation
bin1111001010011111…
…1110111010110001
3101111200111021000000
43302213332322301
531314031130401
61511530220213
7202605153012
oct36247767261
911450437000
104070567601
1117a9802761
12957284669
134cb42b6a9
142a8883009
1518c564186
hexf29feeb1

4070567601 has 63 divisors (see below), whose sum is σ = 6530158011. Its totient is φ = 2535706944.

The previous prime is 4070567569. The next prime is 4070567659. The reversal of 4070567601 is 1067650704.

The square root of 4070567601 is 63801.

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

4070567601 is a `hidden beast` number, since 40 + 7 + 0 + 5 + 6 + 7 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3169127025 + 901440576 = 56295^2 + 30024^2 .

It is not a de Polignac number, because 4070567601 - 25 = 4070567569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4070567401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 29284590 + ... + 29284728.

Almost surely, 24070567601 is an apocalyptic number.

4070567601 is the 63801-st square number.

4070567601 is the 31901-st centered octagonal number.

It is an amenable number.

4070567601 is a deficient number, since it is larger than the sum of its proper divisors (2459590410).

4070567601 is an frugal number, since it uses more digits than its factorization.

4070567601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 4070567601 is about 1596.6816121603.

Multiplying 4070567601 by its sum of digits (36), we get a square (146540433636 = 3828062).

The spelling of 4070567601 in words is "four billion, seventy million, five hundred sixty-seven thousand, six hundred one".

Divisors: 1 3 9 17 27 51 81 139 153 243 289 417 459 729 867 1251 1377 2363 2601 3753 4131 7089 7803 11259 12393 19321 21267 23409 33777 40171 57963 63801 70227 101331 120513 173889 191403 210681 328457 361539 521667 574209 985371 1084617 1565001 1722627 2956113 3253851 4695003 5583769 8868339 9761553 14085009 16751307 26605017 29284659 50253921 79815051 150761763 239445153 452285289 1356855867 4070567601