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83916216 = 23331722853
BaseRepresentation
bin1010000000001…
…11010110111000
312211220101102000
411000013112320
5132440304331
612154341000
72036163456
oct500072670
9184811360
1083916216
114340654a
122412a760
1314501a87
14b2059d6
1575790e6
hex50075b8

83916216 has 64 divisors (see below), whose sum is σ = 246823200. Its totient is φ = 26325504.

The previous prime is 83916193. The next prime is 83916223. The reversal of 83916216 is 61261938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7755 + ... + 15098.

Almost surely, 283916216 is an apocalyptic number.

It is an amenable number.

83916216 is an abundant number, since it is smaller than the sum of its proper divisors (162906984).

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

83916216 is a wasteful number, since it uses less digits than its factorization.

83916216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22885 (or 22875 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 83916216 is about 9160.5794576544. The cubic root of 83916216 is about 437.8062569666.

The spelling of 83916216 in words is "eighty-three million, nine hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 22853 45706 68559 91412 137118 182824 205677 274236 388501 411354 548472 617031 777002 822708 1165503 1234062 1554004 1645416 2331006 2468124 3108008 3496509 4662012 4936248 6993018 9324024 10489527 13986036 20979054 27972072 41958108 83916216