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53145664 = 2611135807
BaseRepresentation
bin1100101010111…
…1000001000000
310201000002010221
43022233001000
5102101130124
65135032424
71213505425
oct312570100
9121002127
1053145664
1127aaa140
121596b714
13b01a150
1470b5d4c
1549ebce4
hex32af040

53145664 has 56 divisors (see below), whose sum is σ = 123919488. Its totient is φ = 22295040.

The previous prime is 53145649. The next prime is 53145667. The reversal of 53145664 is 46654135.

It is not an unprimeable number, because it can be changed into a prime (53145667) 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, 6249 + ... + 12055.

It is an arithmetic number, because the mean of its divisors is an integer number (2212848).

Almost surely, 253145664 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 53145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61959744).

53145664 is an abundant number, since it is smaller than the sum of its proper divisors (70773824).

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

53145664 is a wasteful number, since it uses less digits than its factorization.

53145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5833 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 53145664 is about 7290.1072694440. The cubic root of 53145664 is about 375.9723836666.

Adding to 53145664 its reverse (46654135), we get a palindrome (99799799).

The spelling of 53145664 in words is "fifty-three million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 5807 9152 11614 23228 46456 63877 75491 92912 127754 150982 185824 255508 301964 371648 511016 603928 830401 1022032 1207856 1660802 2044064 2415712 3321604 4088128 4831424 6643208 13286416 26572832 53145664