Search a number
-
+
52922430 = 233511103173
BaseRepresentation
bin1100100111100…
…0100000111110
310200120201221000
43021320200332
5102022004210
65130151130
71211555541
oct311704076
9120521830
1052922430
1127967450
12158824a6
13ac6c662
147058858
1549a5ac0
hex327883e

52922430 has 128 divisors (see below), whose sum is σ = 156349440. Its totient is φ = 12631680.

The previous prime is 52922417. The next prime is 52922437. The reversal of 52922430 is 3422925.

52922430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52922394 and 52922403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52922437) 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 63 ways as a sum of consecutive naturals, for example, 305824 + ... + 305996.

It is an arithmetic number, because the mean of its divisors is an integer number (1221480).

Almost surely, 252922430 is an apocalyptic number.

52922430 is the 5940-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52922430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78174720).

52922430 is an abundant number, since it is smaller than the sum of its proper divisors (103427010).

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

52922430 is a wasteful number, since it uses less digits than its factorization.

52922430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52922430 is about 7274.7804090570. The cubic root of 52922430 is about 375.4452311753.

The spelling of 52922430 in words is "fifty-two million, nine hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 103 110 135 165 173 198 206 270 297 309 330 346 495 515 519 594 618 865 927 990 1030 1038 1133 1485 1545 1557 1730 1854 1903 2266 2595 2781 2970 3090 3114 3399 3806 4635 4671 5190 5562 5665 5709 6798 7785 9270 9342 9515 10197 11330 11418 13905 15570 16995 17127 17819 19030 20394 23355 27810 28545 30591 33990 34254 35638 46710 50985 51381 53457 57090 61182 85635 89095 101970 102762 106914 152955 160371 171270 178190 196009 256905 267285 305910 320742 392018 481113 513810 534570 588027 801855 962226 980045 1176054 1603710 1764081 1960090 2405565 2940135 3528162 4811130 5292243 5880270 8820405 10584486 17640810 26461215 52922430