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53541040 = 2457671427
BaseRepresentation
bin1100110000111…
…1100010110000
310201202011111111
43030033202300
5102201303130
65151323104
71220043220
oct314174260
9121664444
1053541040
112824a1a3
1215b20494
13b1280b7
14717a080
154a7902a
hex330f8b0

53541040 has 80 divisors (see below), whose sum is σ = 144490752. Its totient is φ = 18070272.

The previous prime is 53540969. The next prime is 53541049. The reversal of 53541040 is 4014535.

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

It is not an unprimeable number, because it can be changed into a prime (53541049) 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, 36807 + ... + 38233.

Almost surely, 253541040 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 53541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245376).

53541040 is an abundant number, since it is smaller than the sum of its proper divisors (90949712).

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

53541040 is a wasteful number, since it uses less digits than its factorization.

53541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 53541040 is about 7317.1743180001. The cubic root of 53541040 is about 376.9024272159.

Adding to 53541040 its reverse (4014535), we get a palindrome (57555575).

The spelling of 53541040 in words is "fifty-three million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1427 1876 2345 2680 2854 3752 4690 5360 5708 7135 7504 9380 9989 11416 14270 18760 19978 22832 28540 37520 39956 49945 57080 79912 95609 99890 114160 159824 191218 199780 382436 399560 478045 669263 764872 799120 956090 1338526 1529744 1912180 2677052 3346315 3824360 5354104 6692630 7648720 10708208 13385260 26770520 53541040