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53814592 = 261371911
BaseRepresentation
bin1100110101001…
…0010101000000
310202021001202001
43031102111000
5102234031332
65201233344
71222262566
oct315222500
9122231661
1053814592
1128416777
1216032854
13b1c2770
14720ba36
154ad00e7
hex3352540

53814592 has 56 divisors (see below), whose sum is σ = 116750592. Its totient is φ = 24460800.

The previous prime is 53814569. The next prime is 53814617. The reversal of 53814592 is 29541835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58617 + ... + 59527.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 253814592 is an apocalyptic number.

53814592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53814592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

53814592 is an abundant number, since it is smaller than the sum of its proper divisors (62936000).

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

53814592 is a wasteful number, since it uses less digits than its factorization.

53814592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 53814592 is about 7335.8429645133. The cubic root of 53814592 is about 377.5432273642.

The spelling of 53814592 in words is "fifty-three million, eight hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 208 284 416 568 832 911 923 1136 1822 1846 2272 3644 3692 4544 7288 7384 11843 14576 14768 23686 29152 29536 47372 58304 59072 64681 94744 129362 189488 258724 378976 517448 757952 840853 1034896 1681706 2069792 3363412 4139584 6726824 13453648 26907296 53814592