Search a number
-
+
53356446 = 2321113191091
BaseRepresentation
bin1100101110001…
…0011110011110
310201101210021200
43023202132132
5102124401241
65143340330
71215344103
oct313423636
9121353250
1053356446
1128133540
1215a516a6
13b092080
14712caaa
154a3e4b6
hex32e279e

53356446 has 96 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 14126400.

The previous prime is 53356441. The next prime is 53356483. The reversal of 53356446 is 64465335.

53356446 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 644 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53356446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53356441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48361 + ... + 49451.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 253356446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53356446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

53356446 is an abundant number, since it is smaller than the sum of its proper divisors (89739234).

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

53356446 is a wasteful number, since it uses less digits than its factorization.

53356446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 53356446 is about 7304.5496781116. The cubic root of 53356446 is about 376.4687783298.

Subtracting 53356446 from its reverse (64465335), we obtain a square (11108889 = 33332).

It can be divided in two parts, 5335 and 6446, that added together give a triangular number (11781 = T153).

The spelling of 53356446 in words is "fifty-three million, three hundred fifty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 1091 1254 1287 1482 1881 2182 2223 2574 2717 3273 3762 4446 5434 6546 8151 9819 12001 14183 16302 19638 20729 24002 24453 28366 36003 41458 42549 48906 62187 72006 85098 108009 124374 127647 156013 186561 216018 228019 255294 269477 312026 373122 456038 468039 538954 684057 808431 936078 1368114 1404117 1616862 2052171 2425293 2808234 2964247 4104342 4850586 5928494 8892741 17785482 26678223 53356446