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53983888 = 2472371861
BaseRepresentation
bin1100110111101…
…1101010010000
310202120122222021
43031323222100
5102304441023
65205021224
71223566300
oct315735220
9122518867
1053983888
1128521992
12160b4814
13b25183a
147253600
154b1535d
hex337ba90

53983888 has 60 divisors (see below), whose sum is σ = 125025852. Its totient is φ = 22498560.

The previous prime is 53983873. The next prime is 53983889. The reversal of 53983888 is 88838935.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 34904464 = 4368^2 + 5908^2 .

Its product of digits (1658880) is a multiple of the sum of its prime factors (1920).

It is not an unprimeable number, because it can be changed into a prime (53983889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28078 + ... + 29938.

Almost surely, 253983888 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 53983888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512926).

53983888 is an abundant number, since it is smaller than the sum of its proper divisors (71041964).

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

53983888 is a wasteful number, since it uses less digits than its factorization.

53983888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1907 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The square root of 53983888 is about 7347.3728638201. The cubic root of 53983888 is about 377.9387189180.

It can be divided in two parts, 5 and 3983888, that added together give a palindrome (3983893).

The spelling of 53983888 in words is "fifty-three million, nine hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 1861 2072 3626 3722 4144 7252 7444 13027 14504 14888 26054 29008 29776 52108 68857 91189 104216 137714 182378 208432 275428 364756 481999 550856 729512 963998 1101712 1459024 1927996 3373993 3855992 6747986 7711984 13495972 26991944 53983888