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51474384 = 24321331887
BaseRepresentation
bin1100010001011…
…0111111010000
310120212011120200
43010112333100
5101134140014
65035135200
71163345043
oct304267720
9116764520
1051474384
1127068515
12152a4500
13a883520
146b9cc5a
1547bba09
hex3116fd0

51474384 has 120 divisors (see below), whose sum is σ = 160323072. Its totient is φ = 15310080.

The previous prime is 51474349. The next prime is 51474403. The reversal of 51474384 is 48347415.

51474384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×514743842 = 5299224416358912, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57589 + ... + 58475.

Almost surely, 251474384 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 51474384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80161536).

51474384 is an abundant number, since it is smaller than the sum of its proper divisors (108848688).

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

51474384 is a wasteful number, since it uses less digits than its factorization.

51474384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 936 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 51474384 is about 7174.5650739261. The cubic root of 51474384 is about 371.9892470010.

The spelling of 51474384 in words is "fifty-one million, four hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 887 936 1116 1209 1488 1612 1774 1872 2232 2418 2661 3224 3548 3627 4464 4836 5322 6448 7096 7254 7983 9672 10644 11531 14192 14508 15966 19344 21288 23062 27497 29016 31932 34593 42576 46124 54994 58032 63864 69186 82491 92248 103779 109988 127728 138372 164982 184496 207558 219976 247473 276744 329964 357461 415116 439952 494946 553488 659928 714922 830232 989892 1072383 1319856 1429844 1660464 1979784 2144766 2859688 3217149 3959568 4289532 5719376 6434298 8579064 12868596 17158128 25737192 51474384