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945048216 = 233722724781
BaseRepresentation
bin111000010101000…
…100101010011000
32102212021102102210
4320111010222120
53413413020331
6233435355120
732263530420
oct7025045230
92385242383
10945048216
11445500792
122245b2aa0
13120a39c38
148d725480
1557e79446
hex38544a98

945048216 has 64 divisors (see below), whose sum is σ = 2712142080. Its totient is φ = 268813440.

The previous prime is 945048187. The next prime is 945048217. The reversal of 945048216 is 612840549.

It is a super-2 number, since 2×9450482162 = 1786232261129565312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945048217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25746 + ... + 50526.

It is an arithmetic number, because the mean of its divisors is an integer number (42377220).

Almost surely, 2945048216 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 945048216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356071040).

945048216 is an abundant number, since it is smaller than the sum of its proper divisors (1767093864).

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

945048216 is a wasteful number, since it uses less digits than its factorization.

945048216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25024 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 945048216 is about 30741.6365211743. The cubic root of 945048216 is about 981.3365824800.

The spelling of 945048216 in words is "nine hundred forty-five million, forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 227 454 681 908 1362 1589 1816 2724 3178 4767 5448 6356 9534 12712 19068 24781 38136 49562 74343 99124 148686 173467 198248 297372 346934 520401 594744 693868 1040802 1387736 2081604 4163208 5625287 11250574 16875861 22501148 33751722 39377009 45002296 67503444 78754018 118131027 135006888 157508036 236262054 315016072 472524108 945048216