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53226144 = 25321971137
BaseRepresentation
bin1100101100001…
…0101010100000
310201011011112200
43023002222200
5102111214034
65140453200
71214262156
oct313025240
9121134480
1053226144
1128054654
12159aa200
13b04797a
1470d73d6
154a15a99
hex32c2aa0

53226144 has 144 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 16450560.

The previous prime is 53226139. The next prime is 53226149. The reversal of 53226144 is 44162235.

It is an interprime number because it is at equal distance from previous prime (53226139) and next prime (53226149).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53226149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388444 + ... + 388580.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 253226144 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 53226144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

53226144 is an abundant number, since it is smaller than the sum of its proper divisors (109525536).

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

53226144 is a wasteful number, since it uses less digits than its factorization.

53226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 53226144 is about 7295.6249903624. The cubic root of 53226144 is about 376.1620698633.

Adding to 53226144 its reverse (44162235), we get a palindrome (97388379).

The spelling of 53226144 in words is "fifty-three million, two hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 71 72 76 96 114 137 142 144 152 171 213 228 274 284 288 304 342 411 426 456 548 568 608 639 684 822 852 912 1096 1136 1233 1278 1349 1368 1644 1704 1824 2192 2272 2466 2556 2603 2698 2736 3288 3408 4047 4384 4932 5112 5206 5396 5472 6576 6816 7809 8094 9727 9864 10224 10412 10792 12141 13152 15618 16188 19454 19728 20448 20824 21584 23427 24282 29181 31236 32376 38908 39456 41648 43168 46854 48564 58362 62472 64752 77816 83296 87543 93708 97128 116724 124944 129504 155632 175086 184813 187416 194256 233448 249888 311264 350172 369626 374832 388512 466896 554439 700344 739252 749664 933792 1108878 1400688 1478504 1663317 2217756 2801376 2957008 3326634 4435512 5914016 6653268 8871024 13306536 17742048 26613072 53226144