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53918064 = 24322331607
BaseRepresentation
bin1100110110101…
…1100101110000
310202110022200100
43031223211300
5102300334224
65203352400
71223203344
oct315534560
9122408610
1053918064
1128487492
1216082700
13b22a8a5
147237624
154b00ac9
hex336b970

53918064 has 60 divisors (see below), whose sum is σ = 151637616. Its totient is φ = 17884416.

The previous prime is 53918027. The next prime is 53918077. The reversal of 53918064 is 46081935.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32749 + ... + 34355.

Almost surely, 253918064 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 53918064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75818808).

53918064 is an abundant number, since it is smaller than the sum of its proper divisors (97719552).

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

53918064 is a wasteful number, since it uses less digits than its factorization.

53918064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53918064 is about 7342.8920732910. The cubic root of 53918064 is about 377.7850461757.

Adding to 53918064 its reverse (46081935), we get a palindrome (99999999).

The spelling of 53918064 in words is "fifty-three million, nine hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1607 1864 2097 2796 3214 3728 4194 4821 5592 6428 8388 9642 11184 12856 14463 16776 19284 25712 28926 33552 38568 57852 77136 115704 231408 374431 748862 1123293 1497724 2246586 2995448 3369879 4493172 5990896 6739758 8986344 13479516 17972688 26959032 53918064