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466772864 = 2729413067
BaseRepresentation
bin11011110100100…
…110001110000000
31012112022111222212
4123310212032000
51423443212424
6114152321252
714365334555
oct3364461600
91175274885
10466772864
1121a5323a8
121103a3228
137592027c
1445dc6a2c
152aea310e
hex1bd26380

466772864 has 64 divisors (see below), whose sum is σ = 985748400. Its totient is φ = 219770880.

The previous prime is 466772863. The next prime is 466772881. The reversal of 466772864 is 468277664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466772863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150659 + ... + 153725.

Almost surely, 2466772864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492874200).

466772864 is an abundant number, since it is smaller than the sum of its proper divisors (518975536).

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

466772864 is a wasteful number, since it uses less digits than its factorization.

466772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3139 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 50.

The square root of 466772864 is about 21604.9268455137. The cubic root of 466772864 is about 775.7144235604.

The spelling of 466772864 in words is "four hundred sixty-six million, seven hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 328 464 656 928 1189 1312 1856 2378 2624 3067 3712 4756 5248 6134 9512 12268 19024 24536 38048 49072 76096 88943 98144 125747 152192 177886 196288 251494 355772 392576 502988 711544 1005976 1423088 2011952 2846176 3646663 4023904 5692352 7293326 8047808 11384704 14586652 16095616 29173304 58346608 116693216 233386432 466772864