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38974608 = 2434172961
BaseRepresentation
bin1001010010101…
…1010010010000
32201100010010000
42110223102100
534434141413
63511210000
7652164411
oct224532220
981303100
1038974608
1120000222
1211076900
1380c7bca
145267808
15364d073
hex252b490

38974608 has 200 divisors, whose sum is σ = 125583480. Its totient is φ = 11612160.

The previous prime is 38974577. The next prime is 38974631. The reversal of 38974608 is 80647983.

It is a happy number.

38974608 is a `hidden beast` number, since 38 + 9 + 7 + 4 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 36578304 = 1548^2 + 6048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638898 + ... + 638958.

Almost surely, 238974608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38974608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791740).

38974608 is an abundant number, since it is smaller than the sum of its proper divisors (86608872).

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

38974608 is a wasteful number, since it uses less digits than its factorization.

38974608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38974608 is about 6242.9646803422. The cubic root of 38974608 is about 339.0475303393.

The spelling of 38974608 in words is "thirty-eight million, nine hundred seventy-four thousand, six hundred eight".