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100472382 = 2327376463
BaseRepresentation
bin1011111110100…
…01011000111110
321000001112012100
411333101120332
5201210104012
613545245530
72330000253
oct577213076
9230045170
10100472382
115179442a
12297938a6
1317a7a81a
14d4b542a
158c498dc
hex5fd163e

100472382 has 24 divisors (see below), whose sum is σ = 220675104. Its totient is φ = 33031584.

The previous prime is 100472369. The next prime is 100472453. The reversal of 100472382 is 283274001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36918 + ... + 39545.

It is an arithmetic number, because the mean of its divisors is an integer number (9194796).

Almost surely, 2100472382 is an apocalyptic number.

100472382 is an abundant number, since it is smaller than the sum of its proper divisors (120202722).

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

100472382 is a wasteful number, since it uses less digits than its factorization.

100472382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76544 (or 76541 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100472382 is about 10023.5912725929. The cubic root of 100472382 is about 464.8886032150. Note that the first 3 decimals are identical.

The spelling of 100472382 in words is "one hundred million, four hundred seventy-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 76463 152926 229389 458778 688167 1376334 5581799 11163598 16745397 33490794 50236191 100472382