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51676416 = 2832112039
BaseRepresentation
bin1100010100100…
…0010100000000
310121020102201100
43011020110000
5101212121131
65043334400
71165146051
oct305102400
9117212640
1051676416
1127196290
1215381400
13a92447c
146c12728
15480b7e6
hex3148500

51676416 has 108 divisors (see below), whose sum is σ = 162620640. Its totient is φ = 15651840.

The previous prime is 51676403. The next prime is 51676433. The reversal of 51676416 is 61467615.

51676416 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 641 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24325 + ... + 26363.

Almost surely, 251676416 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 51676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81310320).

51676416 is an abundant number, since it is smaller than the sum of its proper divisors (110944224).

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

51676416 is a wasteful number, since it uses less digits than its factorization.

51676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2055 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 51676416 is about 7188.6310240546. The cubic root of 51676416 is about 372.4752856597.

The spelling of 51676416 in words is "fifty-one million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2039 2112 2304 2816 3168 4078 4224 6117 6336 8156 8448 12234 12672 16312 18351 22429 24468 25344 32624 36702 44858 48936 65248 67287 73404 89716 97872 130496 134574 146808 179432 195744 201861 260992 269148 293616 358864 391488 403722 521984 538296 587232 717728 782976 807444 1076592 1174464 1435456 1565952 1614888 2153184 2348928 2870912 3229776 4306368 4697856 5741824 6459552 8612736 12919104 17225472 25838208 51676416