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53916416 = 28239157
BaseRepresentation
bin1100110110101…
…1001100000000
310202110020102022
43031223030000
5102300311131
65203341012
71223165501
oct315531400
9122406368
1053916416
1128486224
1216081768
13b229c08
147236ba8
154b0037b
hex336b300

53916416 has 36 divisors (see below), whose sum is σ = 112313712. Its totient is φ = 25783296.

The previous prime is 53916397. The next prime is 53916419. The reversal of 53916416 is 61461935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53916419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310 + ... + 10466.

Almost surely, 253916416 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 53916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56156856).

53916416 is an abundant number, since it is smaller than the sum of its proper divisors (58397296).

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

53916416 is an equidigital number, since it uses as much as digits as its factorization.

53916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9182 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 53916416 is about 7342.7798550685. The cubic root of 53916416 is about 377.7811971496.

The spelling of 53916416 in words is "fifty-three million, nine hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 9157 18314 36628 73256 146512 210611 293024 421222 586048 842444 1172096 1684888 2344192 3369776 6739552 13479104 26958208 53916416