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53989416 = 23341321729
BaseRepresentation
bin1100110111110…
…1000000101000
310202120221120000
43031331000220
5102310130131
65205103000
71223621355
oct315750050
9122527500
1053989416
1128526058
12160b7a60
13b254200
14725562c
154b16ce6
hex337d028

53989416 has 240 divisors, whose sum is σ = 179358300. Its totient is φ = 15095808.

The previous prime is 53989409. The next prime is 53989421. The reversal of 53989416 is 61498935.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14976900 + 39012516 = 3870^2 + 6246^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (233280) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1861690 + ... + 1861718.

Almost surely, 253989416 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 53989416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89679150).

53989416 is an abundant number, since it is smaller than the sum of its proper divisors (125368884).

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

53989416 is a wasteful number, since it uses less digits than its factorization.

53989416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 53989416 is about 7347.7490430743. The cubic root of 53989416 is about 377.9516189023.

The spelling of 53989416 in words is "fifty-three million, nine hundred eighty-nine thousand, four hundred sixteen".