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100482642 = 23213429413
BaseRepresentation
bin1011111110100…
…11111001010010
321000002001021100
411333103321102
5201210421032
613545405230
72330042211
oct577237122
9230061240
10100482642
11517a1107
1229799816
1317a823b0
14d4b9078
158c4c97c
hex5fd3e52

100482642 has 24 divisors (see below), whose sum is σ = 234460044. Its totient is φ = 30917664.

The previous prime is 100482623. The next prime is 100482643. The reversal of 100482642 is 246284001.

100482642 is a `hidden beast` number, since 10 + 0 + 4 + 8 + 2 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89132481 + 11350161 = 9441^2 + 3369^2 .

It is a super-2 number, since 2×1004826422 = 20193522686600328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100482643) by changing a digit.

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, 214473 + ... + 214940.

Almost surely, 2100482642 is an apocalyptic number.

100482642 is an abundant number, since it is smaller than the sum of its proper divisors (133977402).

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

100482642 is a wasteful number, since it uses less digits than its factorization.

100482642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429434 (or 429431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 100482642 is about 10024.1030521439. The cubic root of 100482642 is about 464.9044271148.

It can be divided in two parts, 100482 and 642, that added together give a square (101124 = 3182).

The spelling of 100482642 in words is "one hundred million, four hundred eighty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 429413 858826 1288239 2576478 3864717 5582369 7729434 11164738 16747107 33494214 50241321 100482642