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83943936 = 293218217
BaseRepresentation
bin1010000000011…
…10001000000000
312211221210102200
411000032020000
5132442201221
612155113200
72036340336
oct500161000
9184853380
1083943936
114342535a
1224142800
131451158b
14b211b56
157582426
hex500e200

83943936 has 60 divisors (see below), whose sum is σ = 242281182. Its totient is φ = 27979776.

The previous prime is 83943929. The next prime is 83943947. The reversal of 83943936 is 63934938.

It can be written as a sum of positive squares in only one way, i.e., 78854400 + 5089536 = 8880^2 + 2256^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 83943891 and 83943900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4501 + ... + 13716.

Almost surely, 283943936 is an apocalyptic number.

It is an amenable number.

83943936 is an abundant number, since it is smaller than the sum of its proper divisors (158337246).

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

83943936 is a wasteful number, since it uses less digits than its factorization.

83943936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18241 (or 18222 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 83943936 is about 9162.0923374522. The cubic root of 83943936 is about 437.8544584306.

The spelling of 83943936 in words is "eighty-three million, nine hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 18217 36434 54651 72868 109302 145736 163953 218604 291472 327906 437208 582944 655812 874416 1165888 1311624 1748832 2331776 2623248 3497664 4663552 5246496 6995328 9327104 10492992 13990656 20985984 27981312 41971968 83943936