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627913216 = 297199221
BaseRepresentation
bin100101011011010…
…011001000000000
31121202112022000001
4211123103020000
52241221210331
6142150205344
721363113530
oct4533231000
91552468001
10627913216
112a2493547
12156353854
13a011caa8
145d5714c0
153a1d3561
hex256d3200

627913216 has 80 divisors (see below), whose sum is σ = 1509456960. Its totient is φ = 254914560.

The previous prime is 627913211. The next prime is 627913217. The reversal of 627913216 is 612319726.

It is not an unprimeable number, because it can be changed into a prime (627913211) 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 7 ways as a sum of consecutive naturals, for example, 63486 + ... + 72706.

It is an arithmetic number, because the mean of its divisors is an integer number (18868212).

Almost surely, 2627913216 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 627913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754728480).

627913216 is an abundant number, since it is smaller than the sum of its proper divisors (881543744).

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

627913216 is an equidigital number, since it uses as much as digits as its factorization.

627913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9249 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 627913216 is about 25058.1965831542. The cubic root of 627913216 is about 856.3143225091.

The spelling of 627913216 in words is "six hundred twenty-seven million, nine hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2432 3584 4256 4864 8512 9221 9728 17024 18442 34048 36884 64547 68096 73768 129094 147536 175199 258188 295072 350398 516376 590144 700796 1032752 1180288 1226393 1401592 2065504 2360576 2452786 2803184 4131008 4721152 4905572 5606368 8262016 9811144 11212736 16524032 19622288 22425472 33048064 39244576 44850944 78489152 89701888 156978304 313956608 627913216