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52342416 = 2433719911
BaseRepresentation
bin1100011110101…
…0111010010000
310122111021022000
43013222322100
5101344424131
65105514000
71203621540
oct307527220
9118437260
1052342416
11276006a5
1215642900
13aac8659
146d47320
1548ddce6
hex31eae90

52342416 has 160 divisors (see below), whose sum is σ = 180940800. Its totient is φ = 14152320.

The previous prime is 52342403. The next prime is 52342421. The reversal of 52342416 is 61424325.

52342416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52342416.

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 31 ways as a sum of consecutive naturals, for example, 57001 + ... + 57911.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 252342416 is an apocalyptic number.

52342416 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 52342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470400).

52342416 is an abundant number, since it is smaller than the sum of its proper divisors (128598384).

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

52342416 is a wasteful number, since it uses less digits than its factorization.

52342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

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

The square root of 52342416 is about 7234.8058716181. The cubic root of 52342416 is about 374.0686005688.

The spelling of 52342416 in words is "fifty-two million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 911 912 1008 1026 1064 1197 1368 1512 1596 1822 2052 2128 2394 2733 2736 3024 3192 3591 3644 4104 4788 5466 6377 6384 7182 7288 8199 8208 9576 10932 12754 14364 14576 16398 17309 19131 19152 21864 24597 25508 28728 32796 34618 38262 43728 49194 51016 51927 57393 57456 65592 69236 76524 98388 102032 103854 114786 121163 131184 138472 153048 155781 172179 196776 207708 229572 242326 276944 306096 311562 344358 363489 393552 415416 459144 467343 484652 623124 688716 726978 830832 918288 934686 969304 1090467 1246248 1377432 1453956 1869372 1938608 2180934 2492496 2754864 2907912 3271401 3738744 4361868 5815824 6542802 7477488 8723736 13085604 17447472 26171208 52342416