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83448216 = 23327611523
BaseRepresentation
bin1001111100101…
…01000110011000
312211000121102200
410332111012120
5132330320331
612140330200
72032204155
oct476250630
9184017380
1083448216
1143116975
1223b43960
1314399a57
14b12322c
1574d55e6
hex4f95198

83448216 has 48 divisors (see below), whose sum is σ = 226451160. Its totient is φ = 27761280.

The previous prime is 83448191. The next prime is 83448241. The reversal of 83448216 is 61284438.

It is an interprime number because it is at equal distance from previous prime (83448191) and next prime (83448241).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54031 + ... + 55553.

Almost surely, 283448216 is an apocalyptic number.

It is an amenable number.

83448216 is an abundant number, since it is smaller than the sum of its proper divisors (143002944).

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

83448216 is a wasteful number, since it uses less digits than its factorization.

83448216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2289 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 83448216 is about 9134.9995073891. Note that the first 3 decimals coincide. The cubic root of 83448216 is about 436.9908587091.

The spelling of 83448216 in words is "eighty-three million, four hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 761 1522 1523 2283 3044 3046 4566 4569 6088 6092 6849 9132 9138 12184 13698 13707 18264 18276 27396 27414 36552 54792 54828 109656 1159003 2318006 3477009 4636012 6954018 9272024 10431027 13908036 20862054 27816072 41724108 83448216