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38880000 = 283554
BaseRepresentation
bin1001010001010…
…0001100000000
32201011022100000
42110110030000
534423130000
63505200000
7651321525
oct224241400
981138300
1038880000
111aa46135
1211030000
138093b23
14524114c
153630000
hex2514300

38880000 has 270 divisors, whose sum is σ = 145269124. Its totient is φ = 10368000.

The previous prime is 38879999. The next prime is 38880029. The reversal of 38880000 is 8883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7775998 + ... + 7776002.

Almost surely, 238880000 is an apocalyptic number.

38880000 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 38880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72634562).

38880000 is an abundant number, since it is smaller than the sum of its proper divisors (106389124).

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

38880000 is an frugal number, since it uses more digits than its factorization.

38880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38880000 is about 6235.3829072480. The cubic root of 38880000 is about 338.7729703972.

Multiplying 38880000 by its sum of digits (27), we get a 4-th power (1049760000 = 1804).

38880000 divided by its sum of digits (27) gives a square (1440000 = 12002).

Adding to 38880000 its reverse (8883), we get a palindrome (38888883).

The spelling of 38880000 in words is "thirty-eight million, eight hundred eighty thousand".