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38662080 = 26351723103
BaseRepresentation
bin1001001101111…
…0111111000000
32200202020101220
42103132333000
534344141310
63500355040
7646423302
oct223367700
980666356
1038662080
111a907436
1210b45a80
138018892
1451c5972
1535da670
hex24defc0

38662080 has 224 divisors, whose sum is σ = 136940544. Its totient is φ = 9191424.

The previous prime is 38662061. The next prime is 38662081. The reversal of 38662080 is 8026683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38662081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375309 + ... + 375411.

Almost surely, 238662080 is an apocalyptic number.

38662080 is a gapful number since it is divisible by the number (30) 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 38662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

38662080 is an abundant number, since it is smaller than the sum of its proper divisors (98278464).

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

38662080 is a wasteful number, since it uses less digits than its factorization.

38662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38662080 is about 6217.8838844096. The cubic root of 38662080 is about 338.1388503204.

The spelling of 38662080 in words is "thirty-eight million, six hundred sixty-two thousand, eighty".