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38820300 = 22352129401
BaseRepresentation
bin1001010000010…
…1100111001100
32201001021102220
42110011213030
534414222200
63504015340
7650652501
oct224054714
981037386
1038820300
111aa052a2
1211001550
1380728bc
1452274a8
15361c4a0
hex25059cc

38820300 has 36 divisors (see below), whose sum is σ = 112320936. Its totient is φ = 10352000.

The previous prime is 38820293. The next prime is 38820307. The reversal of 38820300 is 302883.

It is an interprime number because it is at equal distance from previous prime (38820293) and next prime (38820307).

It is not an unprimeable number, because it can be changed into a prime (38820307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64401 + ... + 65000.

It is an arithmetic number, because the mean of its divisors is an integer number (3120026).

Almost surely, 238820300 is an apocalyptic number.

38820300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38820300 is an abundant number, since it is smaller than the sum of its proper divisors (73500636).

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

38820300 is a wasteful number, since it uses less digits than its factorization.

38820300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129418 (or 129411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38820300 is about 6230.5938721762. The cubic root of 38820300 is about 338.5994869710.

The spelling of 38820300 in words is "thirty-eight million, eight hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 129401 258802 388203 517604 647005 776406 1294010 1552812 1941015 2588020 3235025 3882030 6470050 7764060 9705075 12940100 19410150 38820300