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38239740 = 223257113189
BaseRepresentation
bin1001000111011…
…1110111111100
32122221210001200
42101313313330
534242132430
63443335500
7643014060
oct221676774
978853050
1038239740
111a6490a0
1210981590
137bcb586
145115aa0
153555460
hex2477dfc

38239740 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 7603200.

The previous prime is 38239703. The next prime is 38239763. The reversal of 38239740 is 4793283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38239695 and 38239704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429616 + ... + 429704.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 238239740 is an apocalyptic number.

38239740 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 38239740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

38239740 is an abundant number, since it is smaller than the sum of its proper divisors (112718340).

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

38239740 is a wasteful number, since it uses less digits than its factorization.

38239740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38239740 is about 6183.8289109580. The cubic root of 38239740 is about 336.9030765538.

It can be divided in two parts, 38 and 239740, that added together give a triangular number (239778 = T692).

The spelling of 38239740 in words is "thirty-eight million, two hundred thirty-nine thousand, seven hundred forty".