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53225216 = 281141461
BaseRepresentation
bin1100101100001…
…0011100000000
310201011010021022
43023002130000
5102111201331
65140445012
71214256362
oct313023400
9121133238
1053225216
1128053990
12159a9768
13b047415
1470d6d32
154a1567b
hex32c2700

53225216 has 72 divisors (see below), whose sum is σ = 118985328. Its totient is φ = 23552000.

The previous prime is 53225201. The next prime is 53225219. The reversal of 53225216 is 61252235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53225219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115226 + ... + 115686.

It is an arithmetic number, because the mean of its divisors is an integer number (1652574).

Almost surely, 253225216 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 53225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59492664).

53225216 is an abundant number, since it is smaller than the sum of its proper divisors (65760112).

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

53225216 is a wasteful number, since it uses less digits than its factorization.

53225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 53225216 is about 7295.5613903249. The cubic root of 53225216 is about 376.1598837169.

The spelling of 53225216 in words is "fifty-three million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 461 656 704 902 922 1312 1408 1804 1844 2624 2816 3608 3688 5071 5248 7216 7376 10142 10496 14432 14752 18901 20284 28864 29504 37802 40568 57728 59008 75604 81136 115456 118016 151208 162272 207911 302416 324544 415822 604832 649088 831644 1209664 1298176 1663288 2419328 3326576 4838656 6653152 13306304 26612608 53225216