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83386248 = 23311315857
BaseRepresentation
bin1001111100001…
…01111110001000
312210220110102120
410332011332020
5132321324443
612135131240
72031525411
oct476057610
9183813376
1083386248
1143084360
1223b13b20
131437779a
14b108808
1574c2083
hex4f85f88

83386248 has 32 divisors (see below), whose sum is σ = 227417760. Its totient is φ = 25268480.

The previous prime is 83386243. The next prime is 83386267. The reversal of 83386248 is 84268338.

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

It is not an unprimeable number, because it can be changed into a prime (83386243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157665 + ... + 158192.

It is an arithmetic number, because the mean of its divisors is an integer number (7106805).

Almost surely, 283386248 is an apocalyptic number.

83386248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

83386248 is an abundant number, since it is smaller than the sum of its proper divisors (144031512).

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

83386248 is a wasteful number, since it uses less digits than its factorization.

83386248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315877 (or 315873 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 83386248 is about 9131.6070874737. The cubic root of 83386248 is about 436.8826632453.

The spelling of 83386248 in words is "eighty-three million, three hundred eighty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 315857 631714 947571 1263428 1895142 2526856 3474427 3790284 6948854 7580568 10423281 13897708 20846562 27795416 41693124 83386248