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38390700 = 22352731753
BaseRepresentation
bin1001001001110…
…0101110101100
32200020110010210
42102130232230
534312000300
63450502420
7644213145
oct222345654
980213123
1038390700
111a741557
1210a34a10
137c521ba
145154acc
153585050
hex249cbac

38390700 has 72 divisors (see below), whose sum is σ = 112662928. Its totient is φ = 10091520.

The previous prime is 38390699. The next prime is 38390707. The reversal of 38390700 is 709383.

38390700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38390707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21024 + ... + 22776.

Almost surely, 238390700 is an apocalyptic number.

38390700 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 38390700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56331464).

38390700 is an abundant number, since it is smaller than the sum of its proper divisors (74272228).

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

38390700 is a wasteful number, since it uses less digits than its factorization.

38390700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 38390700 is about 6196.0229179692. The cubic root of 38390700 is about 337.3458280752.

The spelling of 38390700 in words is "thirty-eight million, three hundred ninety thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1753 1825 2190 3506 3650 4380 5259 5475 7012 7300 8765 10518 10950 17530 21036 21900 26295 35060 43825 52590 87650 105180 127969 131475 175300 255938 262950 383907 511876 525900 639845 767814 1279690 1535628 1919535 2559380 3199225 3839070 6398450 7678140 9597675 12796900 19195350 38390700