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38212840 = 2356115661
BaseRepresentation
bin1001000111000…
…1010011101000
32122220102011101
42101301103220
534240302330
63443011144
7642542461
oct221612350
978812141
1038212840
111a62a966
1210969ab4
137bbc263
145109d68
15354c4ca
hex24714e8

38212840 has 32 divisors (see below), whose sum is σ = 87393960. Its totient is φ = 15033600.

The previous prime is 38212829. The next prime is 38212843. The reversal of 38212840 is 4821283.

It can be written as a sum of positive squares in 4 ways, for example, as 31832164 + 6380676 = 5642^2 + 2526^2 .

It is a super-2 number, since 2×382128402 = 2920442281731200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38212799 and 38212808.

It is not an unprimeable number, because it can be changed into a prime (38212843) 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 7 ways as a sum of consecutive naturals, for example, 5391 + ... + 10270.

Almost surely, 238212840 is an apocalyptic number.

It is an amenable number.

38212840 is an abundant number, since it is smaller than the sum of its proper divisors (49181120).

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

38212840 is a wasteful number, since it uses less digits than its factorization.

38212840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15733 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 38212840 is about 6181.6535004803. The cubic root of 38212840 is about 336.8240591175.

It can be divided in two parts, 38 and 212840, that added together give a triangular number (212878 = T652).

The spelling of 38212840 in words is "thirty-eight million, two hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 15661 31322 62644 78305 125288 156610 313220 626440 955321 1910642 3821284 4776605 7642568 9553210 19106420 38212840