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53464080 = 2435892503
BaseRepresentation
bin1100101111110…
…0110000010000
310201121020221010
43023330300100
5102141322310
65145530520
71216302645
oct313746020
9121536833
1053464080
11281a739a
1215aa3a40
13b0cc067
147159dcc
154a61320
hex32fcc10

53464080 has 80 divisors (see below), whose sum is σ = 167667840. Its totient is φ = 14091264.

The previous prime is 53464069. The next prime is 53464087. The reversal of 53464080 is 8046435.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (53464087) 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, 20109 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (2095848).

Almost surely, 253464080 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 53464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83833920).

53464080 is an abundant number, since it is smaller than the sum of its proper divisors (114203760).

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

53464080 is a wasteful number, since it uses less digits than its factorization.

53464080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 53464080 is about 7311.9135662287. The cubic root of 53464080 is about 376.7217538492.

The spelling of 53464080 in words is "fifty-three million, four hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2503 2670 3560 4272 5006 5340 7120 7509 10012 10680 12515 15018 20024 21360 25030 30036 37545 40048 50060 60072 75090 100120 120144 150180 200240 222767 300360 445534 600720 668301 891068 1113835 1336602 1782136 2227670 2673204 3341505 3564272 4455340 5346408 6683010 8910680 10692816 13366020 17821360 26732040 53464080