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466040601 = 33131783941
BaseRepresentation
bin11011110001110…
…011011100011001
31012110221022112000
4123301303130121
51423301244401
6114124511213
714356164645
oct3361633431
91173838460
10466040601
1121a082224
121100ab509
1375724b90
1445c75c25
152adab186
hex1bc73719

466040601 has 64 divisors (see below), whose sum is σ = 797610240. Its totient is φ = 266388480.

The previous prime is 466040557. The next prime is 466040609. The reversal of 466040601 is 106040664.

It is not a de Polignac number, because 466040601 - 27 = 466040473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (466040609) 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, 494791 + ... + 495731.

It is an arithmetic number, because the mean of its divisors is an integer number (12462660).

Almost surely, 2466040601 is an apocalyptic number.

It is an amenable number.

466040601 is a deficient number, since it is larger than the sum of its proper divisors (331569639).

466040601 is a wasteful number, since it uses less digits than its factorization.

466040601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 466040601 is about 21587.9735269432. The cubic root of 466040601 is about 775.3085700144.

The spelling of 466040601 in words is "four hundred sixty-six million, forty thousand, six hundred one".

Divisors: 1 3 9 13 17 27 39 51 83 117 153 221 249 351 459 663 747 941 1079 1411 1989 2241 2823 3237 4233 5967 8469 9711 12233 12699 15997 18343 25407 29133 36699 38097 47991 55029 78103 110097 143973 165087 207961 234309 330291 431919 495261 623883 702927 1015339 1327751 1871649 2108781 3046017 3983253 5614947 9138051 11949759 17260763 27414153 35849277 51782289 155346867 466040601