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62080416 = 2532297433
BaseRepresentation
bin1110110011010…
…0010110100000
311022211000022200
43230310112200
5111343033131
610054333200
71352450316
oct354642640
9138730280
1062080416
1132051a32
121895a200
13cb27b98
1483600b6
1556b42e6
hex3b345a0

62080416 has 72 divisors (see below), whose sum is σ = 182653380. Its totient is φ = 19977216.

The previous prime is 62080399. The next prime is 62080423. The reversal of 62080416 is 61408026.

It can be written as a sum of positive squares in 2 ways, for example, as 58064400 + 4016016 = 7620^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 62080416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4636 + ... + 12068.

Almost surely, 262080416 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 62080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91326690).

62080416 is an abundant number, since it is smaller than the sum of its proper divisors (120572964).

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

62080416 is a wasteful number, since it uses less digits than its factorization.

62080416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 62080416 is about 7879.1126403930. The cubic root of 62080416 is about 395.9602041429.

The spelling of 62080416 in words is "sixty-two million, eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 7433 8352 14866 22299 29732 44598 59464 66897 89196 118928 133794 178392 215557 237856 267588 356784 431114 535176 646671 713568 862228 1070352 1293342 1724456 1940013 2140704 2586684 3448912 3880026 5173368 6897824 7760052 10346736 15520104 20693472 31040208 62080416