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616073216 = 21111232941
BaseRepresentation
bin100100101110001…
…000100000000000
31120221020202120112
4210232020200000
52230203320331
6141044330452
721160351553
oct4456104000
91527222515
10616073216
11296836a20
121523a3a28
139a835885
145bb6c69a
153914532b
hex24b88800

616073216 has 192 divisors, whose sum is σ = 1485993600. Its totient is φ = 252313600.

The previous prime is 616073209. The next prime is 616073231. The reversal of 616073216 is 612370616.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 15026156 + ... + 15026196.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2616073216 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 616073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

616073216 is an abundant number, since it is smaller than the sum of its proper divisors (869920384).

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

616073216 is a wasteful number, since it uses less digits than its factorization.

616073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 616073216 is about 24820.8222265097. The cubic root of 616073216 is about 850.8978821157.

The spelling of 616073216 in words is "six hundred sixteen million, seventy-three thousand, two hundred sixteen".