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52186428 = 223272937193
BaseRepresentation
bin1100011100010…
…0110100111100
310122012100022200
43013010310330
5101324431203
65102311500
71202402010
oct307046474
9118170280
1052186428
1127504488
1215588590
13aa72658
146d06540
1548ac9a3
hex31c4d3c

52186428 has 144 divisors (see below), whose sum is σ = 161004480. Its totient is φ = 13934592.

The previous prime is 52186427. The next prime is 52186429. The reversal of 52186428 is 82468125.

52186428 is a `hidden beast` number, since 5 + 2 + 1 + 8 + 642 + 8 = 666.

52186428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52186427) and next prime (52186429).

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

It is a junction number, because it is equal to n+sod(n) for n = 52186392 and 52186401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52186427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 270300 + ... + 270492.

Almost surely, 252186428 is an apocalyptic number.

52186428 is a gapful number since it is divisible by the number (58) 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 52186428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80502240).

52186428 is an abundant number, since it is smaller than the sum of its proper divisors (108818052).

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

52186428 is a wasteful number, since it uses less digits than its factorization.

52186428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 52186428 is about 7224.0174418394. The cubic root of 52186428 is about 373.6966379076.

The spelling of 52186428 in words is "fifty-two million, one hundred eighty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 37 42 58 63 74 84 87 111 116 126 148 174 193 203 222 252 259 261 333 348 386 406 444 518 522 579 609 666 772 777 812 1036 1044 1073 1158 1218 1332 1351 1554 1737 1827 2146 2316 2331 2436 2702 3108 3219 3474 3654 4053 4292 4662 5404 5597 6438 6948 7141 7308 7511 8106 9324 9657 11194 12159 12876 14282 15022 16212 16791 19314 21423 22388 22533 24318 28564 30044 33582 38628 39179 42846 45066 48636 49987 50373 64269 67164 67599 78358 85692 90132 99974 100746 117537 128538 135198 149961 156716 199948 201492 207089 235074 257076 270396 299922 352611 414178 449883 470148 599844 621267 705222 828356 899766 1242534 1410444 1449623 1799532 1863801 2485068 2899246 3727602 4348869 5798492 7455204 8697738 13046607 17395476 26093214 52186428