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53525040 = 2435832687
BaseRepresentation
bin1100110000101…
…1101000110000
310201201100112220
43030023220300
5102200300130
65151121040
71216645452
oct314135060
9121640486
1053525040
1128239178
1215b13180
13b120a2a
1471742d2
154a74410
hex330ba30

53525040 has 80 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 14096128.

The previous prime is 53525029. The next prime is 53525041. The reversal of 53525040 is 4052535.

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 53525040.

It is not an unprimeable number, because it can be changed into a prime (53525041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18577 + ... + 21263.

Almost surely, 253525040 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 53525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

53525040 is an abundant number, since it is smaller than the sum of its proper divisors (114464208).

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

53525040 is a wasteful number, since it uses less digits than its factorization.

53525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 53525040 is about 7316.0809180872. The cubic root of 53525040 is about 376.8648794479.

Adding to 53525040 its reverse (4052535), we get a palindrome (57577575).

The spelling of 53525040 in words is "fifty-three million, five hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 2687 3320 3984 4980 5374 6640 8061 9960 10748 13435 16122 19920 21496 26870 32244 40305 42992 53740 64488 80610 107480 128976 161220 214960 223021 322440 446042 644880 669063 892084 1115105 1338126 1784168 2230210 2676252 3345315 3568336 4460420 5352504 6690630 8920840 10705008 13381260 17841680 26762520 53525040