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38697984 = 21032131719
BaseRepresentation
bin1001001110011…
…1110000000000
32200211001122200
42103213300000
534401313414
63501233200
7646633053
oct223476000
980731580
1038697984
111a931406
1210b62800
13802c020
1451d4a9a
1535e6109
hex24e7c00

38697984 has 264 divisors, whose sum is σ = 134119440. Its totient is φ = 10616832.

The previous prime is 38697961. The next prime is 38697991. The reversal of 38697984 is 48979683.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38697984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036727 + ... + 2036745.

It is a vampire number, since it can be written as 38769984 (with its own digits).

Almost surely, 238697984 is an apocalyptic number.

38697984 is a gapful number since it is divisible by the number (34) 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 38697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67059720).

38697984 is an abundant number, since it is smaller than the sum of its proper divisors (95421456).

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

38697984 is a wasteful number, since it uses less digits than its factorization.

38697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 38697984 is about 6220.7703702998. The cubic root of 38697984 is about 338.2434901558.

The spelling of 38697984 in words is "thirty-eight million, six hundred ninety-seven thousand, nine hundred eighty-four".