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52572024 = 233317103139
BaseRepresentation
bin1100100010001…
…0111101111000
310122220221021000
43020202331320
5101424301044
65114445000
71205566131
oct310427570
9118827230
1052572024
112774815a
1215733760
13ab7900b
146da6c88
154936d69
hex3222f78

52572024 has 128 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 16215552.

The previous prime is 52571999. The next prime is 52572053. The reversal of 52572024 is 42027525.

52572024 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 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, 378147 + ... + 378285.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 252572024 is an apocalyptic number.

52572024 is a gapful number since it is divisible by the number (54) 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 52572024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

52572024 is an abundant number, since it is smaller than the sum of its proper divisors (104675976).

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

52572024 is a wasteful number, since it uses less digits than its factorization.

52572024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 52572024 is about 7250.6567978356. The cubic root of 52572024 is about 374.6147724014.

Adding to 52572024 its reverse (42027525), we get a palindrome (94599549).

The spelling of 52572024 in words is "fifty-two million, five hundred seventy-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 103 108 136 139 153 204 206 216 278 306 309 408 412 417 459 556 612 618 824 834 918 927 1112 1224 1236 1251 1668 1751 1836 1854 2363 2472 2502 2781 3336 3502 3672 3708 3753 4726 5004 5253 5562 7004 7089 7416 7506 9452 10008 10506 11124 14008 14178 14317 15012 15759 18904 21012 21267 22248 28356 28634 30024 31518 42024 42534 42951 47277 56712 57268 63036 63801 85068 85902 94554 114536 126072 127602 128853 170136 171804 189108 243389 255204 257706 343608 378216 386559 486778 510408 515412 730167 773118 973556 1030824 1460334 1546236 1947112 2190501 2920668 3092472 4381002 5841336 6571503 8762004 13143006 17524008 26286012 52572024