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83023808 = 267473943
BaseRepresentation
bin1001111001011…
…01011111000000
312210020001020212
410330231133000
5132223230213
612123253252
72025455630
oct474553700
9183201225
1083023808
114295701a
122397a228
131427b81a
14b0526c0
15744e9a8
hex4f2d7c0

83023808 has 56 divisors (see below), whose sum is σ = 192340992. Its totient is φ = 34815744.

The previous prime is 83023807. The next prime is 83023817. The reversal of 83023808 is 80832038.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83023807) 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, 19085 + ... + 23027.

Almost surely, 283023808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96170496).

83023808 is an abundant number, since it is smaller than the sum of its proper divisors (109317184).

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

83023808 is a wasteful number, since it uses less digits than its factorization.

83023808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 83023808 is about 9111.7401192088. The cubic root of 83023808 is about 436.2487708605.

The spelling of 83023808 in words is "eighty-three million, twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 3943 5264 7886 10528 15772 21056 27601 31544 55202 63088 110404 126176 185321 220808 252352 370642 441616 741284 883232 1297247 1482568 1766464 2594494 2965136 5188988 5930272 10377976 11860544 20755952 41511904 83023808