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54502416 = 2433791597
BaseRepresentation
bin1100111111101…
…0010000010000
310210120000021000
43033322100100
5102423034131
65224102000
71231156113
oct317722020
9123500230
1054502416
1128846521
1216304900
13b3a3867
14734a57a
154bb8ce6
hex33fa410

54502416 has 80 divisors (see below), whose sum is σ = 158521600. Its totient is φ = 17926272.

The previous prime is 54502381. The next prime is 54502417. The reversal of 54502416 is 61420545.

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 54502416.

It is not an unprimeable number, because it can be changed into a prime (54502417) 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, 33330 + ... + 34926.

It is an arithmetic number, because the mean of its divisors is an integer number (1981520).

Almost surely, 254502416 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 54502416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79260800).

54502416 is an abundant number, since it is smaller than the sum of its proper divisors (104019184).

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

54502416 is a wasteful number, since it uses less digits than its factorization.

54502416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54502416 is about 7382.5751604708. The cubic root of 54502416 is about 379.1449287112.

The spelling of 54502416 in words is "fifty-four million, five hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1597 1896 2133 2844 3194 3792 4266 4791 5688 6388 8532 9582 11376 12776 14373 17064 19164 25552 28746 34128 38328 43119 57492 76656 86238 114984 126163 172476 229968 252326 344952 378489 504652 689904 756978 1009304 1135467 1513956 2018608 2270934 3027912 3406401 4541868 6055824 6812802 9083736 13625604 18167472 27251208 54502416