Search a number
-
+
52872372 = 22337297103
BaseRepresentation
bin1100100110110…
…0010010110100
310200111012021000
43021230102310
5102013403442
65125123300
71211256600
oct311542264
9120435230
1052872372
1127932883
1215859530
13ac52937
147044500
154995d4c
hex326c4b4

52872372 has 144 divisors (see below), whose sum is σ = 162664320. Its totient is φ = 14805504.

The previous prime is 52872359. The next prime is 52872373. The reversal of 52872372 is 27327825.

It is a happy number.

52872372 is a `hidden beast` number, since 5 + 287 + 2 + 372 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52872373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513273 + ... + 513375.

Almost surely, 252872372 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 52872372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81332160).

52872372 is an abundant number, since it is smaller than the sum of its proper divisors (109791948).

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

52872372 is a wasteful number, since it uses less digits than its factorization.

52872372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 52872372 is about 7271.3390788767. The cubic root of 52872372 is about 375.3268190887.

It can be divided in two parts, 528 and 72372, that added together give a square (72900 = 2702).

The spelling of 52872372 in words is "fifty-two million, eight hundred seventy-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 97 98 103 108 126 147 189 194 196 206 252 291 294 309 378 388 412 441 582 588 618 679 721 756 873 882 927 1164 1236 1323 1358 1442 1746 1764 1854 2037 2163 2619 2646 2716 2781 2884 3492 3708 4074 4326 4753 5047 5238 5292 5562 6111 6489 8148 8652 9506 9991 10094 10476 11124 12222 12978 14259 15141 18333 19012 19467 19982 20188 24444 25956 28518 29973 30282 36666 38934 39964 42777 45423 57036 59946 60564 69937 73332 77868 85554 89919 90846 119892 128331 136269 139874 171108 179838 181692 209811 256662 269757 272538 279748 359676 419622 489559 513324 539514 545076 629433 839244 979118 1079028 1258866 1468677 1888299 1958236 2517732 2937354 3776598 4406031 5874708 7553196 8812062 13218093 17624124 26436186 52872372