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216528768 = 273362653
BaseRepresentation
bin11001110011111…
…11011110000000
3120002102210122000
430321333132000
5420412410033
633252544000
75236315131
oct1471773600
9502383560
10216528768
111012522a5
1260622000
1335b23741
1420a85c88
1514021a13
hexce7f780

216528768 has 64 divisors (see below), whose sum is σ = 639070800. Its totient is φ = 72175104.

The previous prime is 216528757. The next prime is 216528803. The reversal of 216528768 is 867825612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27871 + ... + 34782.

Almost surely, 2216528768 is an apocalyptic number.

It is an amenable number.

216528768 is an abundant number, since it is smaller than the sum of its proper divisors (422542032).

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

216528768 is an equidigital number, since it uses as much as digits as its factorization.

216528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62676 (or 62658 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 216528768 is about 14714.9165135246. The cubic root of 216528768 is about 600.4892010289.

The spelling of 216528768 in words is "two hundred sixteen million, five hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 62653 125306 187959 250612 375918 501224 563877 751836 1002448 1127754 1503672 1691631 2004896 2255508 3007344 3383262 4009792 4511016 6014688 6766524 8019584 9022032 12029376 13533048 18044064 24058752 27066096 36088128 54132192 72176256 108264384 216528768