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53858560 = 28576011
BaseRepresentation
bin1100110101110…
…1000100000000
310202100022001111
43031131010000
5102241433220
65202213104
71222535020
oct315350400
9122308044
1053858560
1128446808
1216054194
13b209792
14721da80
154add15a
hex335d100

53858560 has 72 divisors (see below), whose sum is σ = 147462336. Its totient is φ = 18462720.

The previous prime is 53858551. The next prime is 53858561. The reversal of 53858560 is 6585835.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (53858561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5955 + ... + 11965.

It is an arithmetic number, because the mean of its divisors is an integer number (2048088).

Almost surely, 253858560 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 53858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73731168).

53858560 is an abundant number, since it is smaller than the sum of its proper divisors (93603776).

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

53858560 is an equidigital number, since it uses as much as digits as its factorization.

53858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 53858560 is about 7338.8391452600. The cubic root of 53858560 is about 377.6460204371.

The spelling of 53858560 in words is "fifty-three million, eight hundred fifty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 6011 8960 12022 24044 30055 42077 48088 60110 84154 96176 120220 168308 192352 210385 240440 336616 384704 420770 480880 673232 769408 841540 961760 1346464 1538816 1683080 1923520 2692928 3366160 3847040 5385856 6732320 7694080 10771712 13464640 26929280 53858560