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52301808 = 24331367139
BaseRepresentation
bin1100011110000…
…0111111110000
310122102012121000
43013200333300
5101342124213
65105002000
71203362256
oct307407760
9118365530
1052301808
1127583139
1215623300
13aab3020
146d365d6
1548d1c73
hex31e0ff0

52301808 has 160 divisors (see below), whose sum is σ = 165267200. Its totient is φ = 15738624.

The previous prime is 52301807. The next prime is 52301861. The reversal of 52301808 is 80810325.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52301801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376203 + ... + 376341.

It is an arithmetic number, because the mean of its divisors is an integer number (1032920).

Almost surely, 252301808 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 52301808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82633600).

52301808 is an abundant number, since it is smaller than the sum of its proper divisors (112965392).

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

52301808 is a wasteful number, since it uses less digits than its factorization.

52301808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52301808 is about 7231.9988938052. The cubic root of 52301808 is about 373.9718396062.

The spelling of 52301808 in words is "fifty-two million, three hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 139 144 156 201 208 216 234 268 278 312 351 402 417 432 468 536 556 603 624 702 804 834 871 936 1072 1112 1206 1251 1404 1608 1668 1742 1807 1809 1872 2224 2412 2502 2613 2808 3216 3336 3484 3614 3618 3753 4824 5004 5226 5421 5616 6672 6968 7228 7236 7506 7839 9313 9648 10008 10452 10842 13936 14456 14472 15012 15678 16263 18626 20016 20904 21684 23517 27939 28912 28944 30024 31356 32526 37252 41808 43368 47034 48789 55878 60048 62712 65052 74504 83817 86736 94068 97578 111756 121069 125424 130104 149008 167634 188136 195156 223512 242138 251451 260208 335268 363207 376272 390312 447024 484276 502902 670536 726414 780624 968552 1005804 1089621 1341072 1452828 1937104 2011608 2179242 2905656 3268863 4023216 4358484 5811312 6537726 8716968 13075452 17433936 26150904 52301808