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83629368 = 2333387173
BaseRepresentation
bin1001111110000…
…01010100111000
312211100210221000
410333001110320
5132402114433
612144245000
72033560254
oct477012470
9184323830
1083629368
114322aa89
1224010760
1314431344
14b16d264
15751e113
hex4fc1538

83629368 has 32 divisors (see below), whose sum is σ = 232304400. Its totient is φ = 27876384.

The previous prime is 83629363. The next prime is 83629369. The reversal of 83629368 is 86392638.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83629363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 193371 + ... + 193802.

Almost surely, 283629368 is an apocalyptic number.

It is an amenable number.

83629368 is an abundant number, since it is smaller than the sum of its proper divisors (148675032).

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

83629368 is a wasteful number, since it uses less digits than its factorization.

83629368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387188 (or 387178 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83629368 is about 9144.9094035972. The cubic root of 83629368 is about 437.3068413170.

The spelling of 83629368 in words is "eighty-three million, six hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 387173 774346 1161519 1548692 2323038 3097384 3484557 4646076 6969114 9292152 10453671 13938228 20907342 27876456 41814684 83629368