Search a number
-
+
52024014 = 23271931701
BaseRepresentation
bin1100011001110…
…1001011001110
310121220002112100
43012131023032
5101304232024
65055015530
71201124340
oct306351316
9117802470
1052024014
1127403459
121550a5a6
13aa16753
146ca3290
1548797c9
hex319d2ce

52024014 has 96 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 13608000.

The previous prime is 52024009. The next prime is 52024031. The reversal of 52024014 is 41042025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73864 + ... + 74564.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 252024014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52024014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

52024014 is an abundant number, since it is smaller than the sum of its proper divisors (88151346).

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

52024014 is a wasteful number, since it uses less digits than its factorization.

52024014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52024014 is about 7212.7674300507. The cubic root of 52024014 is about 373.3085635848.

Adding to 52024014 its reverse (41042025), we get a palindrome (93066039).

It can be divided in two parts, 5202 and 4014, that added together give a square (9216 = 962).

The spelling of 52024014 in words is "fifty-two million, twenty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 701 798 1178 1197 1302 1402 1767 1953 2103 2394 3534 3906 4123 4206 4907 5301 6309 8246 9814 10602 12369 12618 13319 14721 21731 24738 26638 29442 37107 39957 43462 44163 65193 74214 79914 88326 93233 119871 130386 152117 186466 195579 239742 279699 304234 391158 412889 456351 559398 825778 839097 912702 1238667 1369053 1678194 2477334 2738106 2890223 3716001 5780446 7432002 8670669 17341338 26012007 52024014