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53330816 = 277211773
BaseRepresentation
bin1100101101110…
…0001110000000
310201100111010102
43023130032000
5102123041231
65143021532
71215206300
oct313341600
9121314112
1053330816
1128116260
1215a3a8a8
13b0834c6
147123600
154a36acb
hex32dc380

53330816 has 96 divisors (see below), whose sum is σ = 135001080. Its totient is φ = 20751360.

The previous prime is 53330789. The next prime is 53330821. The reversal of 53330816 is 61803335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68606 + ... + 69378.

Almost surely, 253330816 is an apocalyptic number.

53330816 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 53330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67500540).

53330816 is an abundant number, since it is smaller than the sum of its proper divisors (81670264).

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

53330816 is a wasteful number, since it uses less digits than its factorization.

53330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 53330816 is about 7302.7950813370. The cubic root of 53330816 is about 376.4084892058.

The spelling of 53330816 in words is "fifty-three million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 773 784 896 1078 1232 1408 1546 1568 2156 2464 3092 3136 4312 4928 5411 6184 6272 8503 8624 9856 10822 12368 17006 17248 21644 24736 34012 34496 37877 43288 49472 59521 68024 68992 75754 86576 98944 119042 136048 151508 173152 238084 272096 303016 346304 416647 476168 544192 606032 692608 833294 952336 1088384 1212064 1666588 1904672 2424128 3333176 3809344 4848256 6666352 7618688 13332704 26665408 53330816