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38820096 = 283272983
BaseRepresentation
bin1001010000010…
…1100100000000
32201001021011100
42110011210000
534414220341
63504014400
7650652060
oct224054400
981037140
1038820096
111aa05127
1211001400
138072793
1452273a0
15361c3b6
hex2505900

38820096 has 216 divisors, whose sum is σ = 133922880. Its totient is φ = 10579968.

The previous prime is 38820083. The next prime is 38820101. The reversal of 38820096 is 69002883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38820096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467671 + ... + 467753.

Almost surely, 238820096 is an apocalyptic number.

38820096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

38820096 is an abundant number, since it is smaller than the sum of its proper divisors (95102784).

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

38820096 is a wasteful number, since it uses less digits than its factorization.

38820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38820096 is about 6230.5775013236. The cubic root of 38820096 is about 338.5988938585.

The spelling of 38820096 in words is "thirty-eight million, eight hundred twenty thousand, ninety-six".