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396466161 = 37133179593
BaseRepresentation
bin10111101000011…
…001011111110001
31000122000120022220
4113220121133301
51302443404121
6103201351253
712552623010
oct2750313761
91018016286
10396466161
11193881993
12b0938529
13641a4c80
143a924a77
1524c166c6
hex17a197f1

396466161 has 64 divisors (see below), whose sum is σ = 681246720. Its totient is φ = 199480320.

The previous prime is 396466151. The next prime is 396466171. The reversal of 396466161 is 161664693.

It is an interprime number because it is at equal distance from previous prime (396466151) and next prime (396466171).

It is not a de Polignac number, because 396466161 - 27 = 396466033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (396466151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 668281 + ... + 668873.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2396466161 is an apocalyptic number.

396466161 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

396466161 is a deficient number, since it is larger than the sum of its proper divisors (284780559).

396466161 is a wasteful number, since it uses less digits than its factorization.

396466161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its digits is 139968, while the sum is 42.

The square root of 396466161 is about 19911.4580330020. The cubic root of 396466161 is about 734.6300827255.

It can be divided in two parts, 3964 and 66161, that added together give a triangular number (70125 = T374).

The spelling of 396466161 in words is "three hundred ninety-six million, four hundred sixty-six thousand, one hundred sixty-one".

Divisors: 1 3 7 13 21 31 39 79 91 93 217 237 273 403 553 593 651 1027 1209 1659 1779 2449 2821 3081 4151 7189 7347 7709 8463 12453 17143 18383 21567 23127 31837 46847 51429 53963 55149 95511 128681 140541 161889 222859 238979 327929 386043 609011 668577 716937 983787 1452257 1672853 1827033 4263077 4356771 5018559 10165799 12789231 18879341 30497397 56638023 132155387 396466161