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53314720 = 2551721153
BaseRepresentation
bin1100101101100…
…0010010100000
310201022200001021
43023120102200
5102122032340
65142415224
71215111334
oct313302240
9121280037
1053314720
1128105158
1215a31514
13b079094
14711b7c4
154a31e4a
hex32d84a0

53314720 has 72 divisors (see below), whose sum is σ = 133917084. Its totient is φ = 20054016.

The previous prime is 53314717. The next prime is 53314721. The reversal of 53314720 is 2741335.

It can be written as a sum of positive squares in 6 ways, for example, as 44997264 + 8317456 = 6708^2 + 2884^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53314721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45664 + ... + 46816.

Almost surely, 253314720 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 53314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66958542).

53314720 is an abundant number, since it is smaller than the sum of its proper divisors (80602364).

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

53314720 is a wasteful number, since it uses less digits than its factorization.

53314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 53314720 is about 7301.6929543771. The cubic root of 53314720 is about 376.3706169140.

The spelling of 53314720 in words is "fifty-three million, three hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1153 1156 1360 1445 2306 2312 2720 2890 4612 4624 5765 5780 9224 9248 11530 11560 18448 19601 23060 23120 36896 39202 46120 46240 78404 92240 98005 156808 184480 196010 313616 333217 392020 627232 666434 784040 1332868 1568080 1666085 2665736 3136160 3332170 5331472 6664340 10662944 13328680 26657360 53314720