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53314416 = 2433167739
BaseRepresentation
bin1100101101100…
…0001101110000
310201022122122000
43023120031300
5102122030131
65142414000
71215110421
oct313301560
9121278560
1053314416
1128104a01
1215a31300
13b078bbc
14711b648
154a31ce6
hex32d8370

53314416 has 80 divisors (see below), whose sum is σ = 154156800. Its totient is φ = 17641152.

The previous prime is 53314409. The next prime is 53314433. The reversal of 53314416 is 61441335.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 53314416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71775 + ... + 72513.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 253314416 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 53314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

53314416 is an abundant number, since it is smaller than the sum of its proper divisors (100842384).

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

53314416 is a wasteful number, since it uses less digits than its factorization.

53314416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53314416 is about 7301.6721372573. The cubic root of 53314416 is about 376.3699015588.

The spelling of 53314416 in words is "fifty-three million, three hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 739 1002 1336 1478 1503 2004 2217 2672 2956 3006 4008 4434 4509 5912 6012 6651 8016 8868 9018 11824 12024 13302 17736 18036 19953 24048 26604 35472 36072 39906 53208 72144 79812 106416 123413 159624 246826 319248 370239 493652 740478 987304 1110717 1480956 1974608 2221434 2961912 3332151 4442868 5923824 6664302 8885736 13328604 17771472 26657208 53314416