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70627216 = 241121912
BaseRepresentation
bin1000011010110…
…10111110010000
311220220020022211
410031122332100
5121040032331
611001441504
71515215152
oct415327620
9156806284
1070627216
113695a300
121b7a0294
131182b16a
149546ad2
1563018b1
hex435af90

70627216 has 45 divisors (see below), whose sum is σ = 151202779. Its totient is φ = 31935200.

The previous prime is 70627213. The next prime is 70627223. The reversal of 70627216 is 61272607.

The square root of 70627216 is 8404.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70627211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369681 + ... + 369871.

Almost surely, 270627216 is an apocalyptic number.

70627216 is the 8404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70627216

70627216 is an abundant number, since it is smaller than the sum of its proper divisors (80575563).

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

70627216 is a wasteful number, since it uses less digits than its factorization.

70627216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The cubic root of 70627216 is about 413.3557936691.

Multiplying 70627216 by its product of nonzero digits (7056), we get a square (498345636096 = 7059362).

The spelling of 70627216 in words is "seventy million, six hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 191 242 382 484 764 968 1528 1936 2101 3056 4202 8404 16808 23111 33616 36481 46222 72962 92444 145924 184888 291848 369776 401291 583696 802582 1605164 3210328 4414201 6420656 8828402 17656804 35313608 70627216