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83814816 = 253881991
BaseRepresentation
bin1001111111011…
…10100110100000
312211201020022110
410333232212200
5132424033231
612152235320
72035262031
oct477564640
9184636273
1083814816
1143347348
122409bb40
1314497887
14b1baa88
157559046
hex4fee9a0

83814816 has 48 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 27878400.

The previous prime is 83814803. The next prime is 83814817. The reversal of 83814816 is 61841838.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×838148162 = 14049846762227712, which contains 22 as substring.

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 (83814817) 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, 84081 + ... + 85071.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 283814816 is an apocalyptic number.

83814816 is the 5286-th octagonal number.

It is an amenable number.

83814816 is an abundant number, since it is smaller than the sum of its proper divisors (136671072).

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

83814816 is a wasteful number, since it uses less digits than its factorization.

83814816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 83814816 is about 9155.0432003350. The cubic root of 83814816 is about 437.6298451059.

The spelling of 83814816 in words is "eighty-three million, eight hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 881 991 1762 1982 2643 2973 3524 3964 5286 5946 7048 7928 10572 11892 14096 15856 21144 23784 28192 31712 42288 47568 84576 95136 873071 1746142 2619213 3492284 5238426 6984568 10476852 13969136 20953704 27938272 41907408 83814816