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52023384 = 233573823
BaseRepresentation
bin1100011001110…
…1000001011000
310121220001200000
43012131001120
5101304222014
65055013000
71201122450
oct306350130
9117801600
1052023384
1127402a36
121550a160
13aa1638a
146ca2d60
154879509
hex319d058

52023384 has 96 divisors (see below), whose sum is σ = 167032320. Its totient is φ = 14859936.

The previous prime is 52023379. The next prime is 52023397. The reversal of 52023384 is 48332025.

It is a super-2 number, since 2×520233842 = 5412864965622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11697 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (1739920).

Almost surely, 252023384 is an apocalyptic number.

52023384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52023384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83516160).

52023384 is an abundant number, since it is smaller than the sum of its proper divisors (115008936).

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

52023384 is a wasteful number, since it uses less digits than its factorization.

52023384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52023384 is about 7212.7237573610. The cubic root of 52023384 is about 373.3070566823.

The spelling of 52023384 in words is "fifty-two million, twenty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 3823 4536 6804 7646 11469 13608 15292 22938 26761 30584 34407 45876 53522 68814 80283 91752 103221 107044 137628 160566 206442 214088 240849 275256 309663 321132 412884 481698 619326 642264 722547 825768 928989 963396 1238652 1445094 1857978 1926792 2167641 2477304 2890188 3715956 4335282 5780376 6502923 7431912 8670564 13005846 17341128 26011692 52023384