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52337376 = 25327131997
BaseRepresentation
bin1100011110100…
…1101011100000
310122111000101100
43013221223200
5101344244001
65105434400
71203601050
oct307515340
9118430340
1052337376
11275a7933
121563ba00
13aac6280
146d45560
1548dc586
hex31e9ae0

52337376 has 144 divisors (see below), whose sum is σ = 183272544. Its totient is φ = 13796352.

The previous prime is 52337357. The next prime is 52337377. The reversal of 52337376 is 67373325.

It is a happy number.

52337376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52337376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52337377) 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 23 ways as a sum of consecutive naturals, for example, 25210 + ... + 27206.

It is an arithmetic number, because the mean of its divisors is an integer number (1272726).

Almost surely, 252337376 is an apocalyptic number.

52337376 is a gapful number since it is divisible by the number (56) 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 52337376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91636272).

52337376 is an abundant number, since it is smaller than the sum of its proper divisors (130935168).

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

52337376 is a wasteful number, since it uses less digits than its factorization.

52337376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2022 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 52337376 is about 7234.4575470453. The cubic root of 52337376 is about 374.0565939503.

The spelling of 52337376 in words is "fifty-two million, three hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 1997 2016 2184 2912 3276 3744 3994 4368 5991 6552 7988 8736 11982 13104 13979 15976 17973 23964 25961 26208 27958 31952 35946 41937 47928 51922 55916 63904 71892 77883 83874 95856 103844 111832 125811 143784 155766 167748 181727 191712 207688 223664 233649 251622 287568 311532 335496 363454 415376 447328 467298 503244 545181 575136 623064 670992 726908 830752 934596 1006488 1090362 1246128 1341984 1453816 1635543 1869192 2012976 2180724 2492256 2907632 3271086 3738384 4025952 4361448 5815264 6542172 7476768 8722896 13084344 17445792 26168688 52337376