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52309872 = 24324759131
BaseRepresentation
bin1100011110001…
…0111101110000
310122102121122200
43013202331300
5101342403442
65105103200
71203424626
oct307427560
9118377580
1052309872
11275891aa
1215627b00
13aab68b4
146d39516
1548d434c
hex31e2f70

52309872 has 120 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 16648320.

The previous prime is 52309861. The next prime is 52309913. The reversal of 52309872 is 27890325.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399247 + ... + 399377.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 252309872 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 52309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

52309872 is an abundant number, since it is smaller than the sum of its proper divisors (100894608).

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

52309872 is a wasteful number, since it uses less digits than its factorization.

52309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 52309872 is about 7232.5563945261. The cubic root of 52309872 is about 373.9910585335.

The spelling of 52309872 in words is "fifty-two million, three hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 59 72 94 118 131 141 144 177 188 236 262 282 354 376 393 423 472 524 531 564 708 752 786 846 944 1048 1062 1128 1179 1416 1572 1692 2096 2124 2256 2358 2773 2832 3144 3384 4248 4716 5546 6157 6288 6768 7729 8319 8496 9432 11092 12314 15458 16638 18471 18864 22184 23187 24628 24957 30916 33276 36942 44368 46374 49256 49914 55413 61832 66552 69561 73884 92748 98512 99828 110826 123664 133104 139122 147768 185496 199656 221652 278244 295536 363263 370992 399312 443304 556488 726526 886608 1089789 1112976 1453052 2179578 2906104 3269367 4359156 5812208 6538734 8718312 13077468 17436624 26154936 52309872