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53552016 = 243475903
BaseRepresentation
bin1100110001001…
…0001110010000
310201202201120000
43030102032100
5102202131031
65151450000
71220120220
oct314221620
9121681500
1053552016
1128257471
1215b26900
13b1300ab
147180080
154a7c3e6
hex3312390

53552016 has 100 divisors (see below), whose sum is σ = 177167232. Its totient is φ = 15297984.

The previous prime is 53552003. The next prime is 53552017. The reversal of 53552016 is 61025535.

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

It is not an unprimeable number, because it can be changed into a prime (53552017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6121 + ... + 12023.

Almost surely, 253552016 is an apocalyptic number.

53552016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53552016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583616).

53552016 is an abundant number, since it is smaller than the sum of its proper divisors (123615216).

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

53552016 is a wasteful number, since it uses less digits than its factorization.

53552016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 53552016 is about 7317.9242958642. The cubic root of 53552016 is about 376.9281806590.

The spelling of 53552016 in words is "fifty-three million, five hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 5903 9072 11806 17709 23612 35418 41321 47224 53127 70836 82642 94448 106254 123963 141672 159381 165284 212508 247926 283344 318762 330568 371889 425016 478143 495852 637524 661136 743778 850032 956286 991704 1115667 1275048 1487556 1912572 1983408 2231334 2550096 2975112 3347001 3825144 4462668 5950224 6694002 7650288 8925336 13388004 17850672 26776008 53552016