Search a number
-
+
51714864 = 24321971823
BaseRepresentation
bin1100010101000…
…1101100110000
310121022101110100
43011101230300
5101214333424
65044232400
71165366125
oct305215460
9117271410
1051714864
1127212163
121539b700
13a938b16
146c2274c
154817dc9
hex3151b30

51714864 has 60 divisors (see below), whose sum is σ = 145544256. Its totient is φ = 17141376.

The previous prime is 51714829. The next prime is 51714877. The reversal of 51714864 is 46841715.

It is a happy number.

51714864 is a `hidden beast` number, since 5 + 171 + 486 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27457 + ... + 29279.

Almost surely, 251714864 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 51714864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

51714864 is an abundant number, since it is smaller than the sum of its proper divisors (93829392).

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

51714864 is a wasteful number, since it uses less digits than its factorization.

51714864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2025 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 51714864 is about 7191.3047494874. The cubic root of 51714864 is about 372.5676384239.

The spelling of 51714864 in words is "fifty-one million, seven hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 1823 2364 3152 3546 3646 4728 5469 7092 7292 9456 10938 14184 14584 16407 21876 28368 29168 32814 43752 65628 87504 131256 262512 359131 718262 1077393 1436524 2154786 2873048 3232179 4309572 5746096 6464358 8619144 12928716 17238288 25857432 51714864