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53152080 = 2435239629
BaseRepresentation
bin1100101011000…
…0100101010000
310201000101221120
43022300211100
5102101331310
65135122240
71213533222
oct312604520
9121011846
1053152080
1128003a43
1215973380
13b020047
1470b8412
1549edb70
hex32b0950

53152080 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 13556224.

The previous prime is 53152067. The next prime is 53152087. The reversal of 53152080 is 8025135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53152080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53152087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706 + ... + 10334.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 253152080 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 53152080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

53152080 is an abundant number, since it is smaller than the sum of its proper divisors (118801200).

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

53152080 is a wasteful number, since it uses less digits than its factorization.

53152080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 53152080 is about 7290.5473045581. The cubic root of 53152080 is about 375.9875127889.

The spelling of 53152080 in words is "fifty-three million, one hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 9629 19258 28887 38516 48145 57774 77032 96290 115548 144435 154064 192580 221467 231096 288870 385160 442934 462192 577740 664401 770320 885868 1107335 1155480 1328802 1771736 2214670 2310960 2657604 3322005 3543472 4429340 5315208 6644010 8858680 10630416 13288020 17717360 26576040 53152080