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38993440 = 255243709
BaseRepresentation
bin1001010010111…
…1111000100000
32201101001221111
42110233320200
534440242230
63511433104
7652303333
oct224577040
981331844
1038993440
1120013392
1211085794
138103655
14527061a
15365392a
hex252fe20

38993440 has 24 divisors (see below), whose sum is σ = 92122380. Its totient is φ = 15597312.

The previous prime is 38993417. The next prime is 38993447. The reversal of 38993440 is 4439983.

It can be written as a sum of positive squares in 2 ways, for example, as 38588944 + 404496 = 6212^2 + 636^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 38993393 and 38993402.

It is not an unprimeable number, because it can be changed into a prime (38993447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121695 + ... + 122014.

Almost surely, 238993440 is an apocalyptic number.

It is an amenable number.

38993440 is an abundant number, since it is smaller than the sum of its proper divisors (53128940).

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

38993440 is a wasteful number, since it uses less digits than its factorization.

38993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243724 (or 243716 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 38993440 is about 6244.4727559659. The cubic root of 38993440 is about 339.1021292634.

The spelling of 38993440 in words is "thirty-eight million, nine hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 243709 487418 974836 1218545 1949672 2437090 3899344 4874180 7798688 9748360 19496720 38993440