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53983864 = 23111983389
BaseRepresentation
bin1100110111101…
…1101001111000
310202120122221101
43031323221320
5102304440424
65205021144
71223566234
oct315735170
9122518841
1053983864
1128521970
12160b47b4
13b25181c
1472535c4
154b15344
hex337ba78

53983864 has 64 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 22907520.

The previous prime is 53983861. The next prime is 53983873. The reversal of 53983864 is 46838935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53983861) 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, 138582 + ... + 138970.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 253983864 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 53983864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

53983864 is an abundant number, since it is smaller than the sum of its proper divisors (63952136).

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

53983864 is a wasteful number, since it uses less digits than its factorization.

53983864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 53983864 is about 7347.3712305831. The cubic root of 53983864 is about 377.9386629104.

Subtracting from 53983864 its reverse (46838935), we obtain a square (7144929 = 26732).

The spelling of 53983864 in words is "fifty-three million, nine hundred eighty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 83 88 152 166 209 332 389 418 664 778 836 913 1556 1577 1672 1826 3112 3154 3652 4279 6308 7304 7391 8558 12616 14782 17116 17347 29564 32287 34232 34694 59128 64574 69388 81301 129148 138776 162602 258296 325204 355157 613453 650408 710314 1226906 1420628 2453812 2841256 4907624 6747983 13495966 26991932 53983864