Search a number
-
+
466429152 = 2537694091
BaseRepresentation
bin11011110011010…
…010010011100000
31012111200001111210
4123303102103200
51423401213102
6114141110120
714362403520
oct3363222340
91174601453
10466429152
1121a318142
12110258340
137582c9a7
1445d37680
152ae3636c
hex1bcd24e0

466429152 has 48 divisors (see below), whose sum is σ = 1399289472. Its totient is φ = 133265280.

The previous prime is 466429151. The next prime is 466429177. The reversal of 466429152 is 251924664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 466429152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466429151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346374 + ... + 347717.

It is an arithmetic number, because the mean of its divisors is an integer number (29151864).

Almost surely, 2466429152 is an apocalyptic number.

466429152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

466429152 is an abundant number, since it is smaller than the sum of its proper divisors (932860320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466429152 is a wasteful number, since it uses less digits than its factorization.

466429152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694111 (or 694103 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 466429152 is about 21596.9708987163. The cubic root of 466429152 is about 775.5239755956.

The spelling of 466429152 in words is "four hundred sixty-six million, four hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 694091 1388182 2082273 2776364 4164546 4858637 5552728 8329092 9717274 11105456 14575911 16658184 19434548 22210912 29151822 33316368 38869096 58303644 66632736 77738192 116607288 155476384 233214576 466429152