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56212416 = 2632137507
BaseRepresentation
bin1101011001101…
…1101111000000
310220202212221100
43112123233000
5103342244131
65324454400
71251540411
oct326335700
9126685840
1056212416
1129804247
12169aa400
13b851cb0
147673808
154e057e6
hex359bbc0

56212416 has 84 divisors (see below), whose sum is σ = 173539912. Its totient is φ = 17293824.

The previous prime is 56212381. The next prime is 56212417. The reversal of 56212416 is 61421265.

56212416 is a `hidden beast` number, since 5 + 621 + 24 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56212416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56212417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3735 + ... + 11241.

Almost surely, 256212416 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 56212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86769956).

56212416 is an abundant number, since it is smaller than the sum of its proper divisors (117327496).

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

56212416 is a wasteful number, since it uses less digits than its factorization.

56212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 7525 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56212416 is about 7497.4939813247. The cubic root of 56212416 is about 383.0693609652.

The spelling of 56212416 in words is "fifty-six million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 7507 15014 22521 30028 45042 60056 67563 90084 97591 120112 135126 180168 195182 240224 270252 292773 360336 390364 480448 540504 585546 720672 780728 878319 1081008 1171092 1441344 1561456 1756638 2162016 2342184 3122912 3513276 4324032 4684368 6245824 7026552 9368736 14053104 18737472 28106208 56212416