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38747040 = 253589907
BaseRepresentation
bin1001001111001…
…1101110100000
32200220112221120
42103303232200
534404401130
63502252240
7650226063
oct223635640
980815846
1038747040
111a965252
1210b87080
138048457
1452088da
153605910
hex24f3ba0

38747040 has 96 divisors (see below), whose sum is σ = 123560640. Its totient is φ = 10205184.

The previous prime is 38747039. The next prime is 38747041. The reversal of 38747040 is 4074783.

It is a happy number.

38747040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38747039) and next prime (38747041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38746992 and 38747010.

It is not an unprimeable number, because it can be changed into a prime (38747041) 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 15 ways as a sum of consecutive naturals, for example, 42267 + ... + 43173.

It is an arithmetic number, because the mean of its divisors is an integer number (1287090).

Almost surely, 238747040 is an apocalyptic number.

38747040 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 38747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61780320).

38747040 is an abundant number, since it is smaller than the sum of its proper divisors (84813600).

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

38747040 is a wasteful number, since it uses less digits than its factorization.

38747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 38747040 is about 6224.7120415325. The cubic root of 38747040 is about 338.3863560494.

The spelling of 38747040 in words is "thirty-eight million, seven hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 907 1068 1335 1424 1780 1814 2136 2670 2721 2848 3560 3628 4272 4535 5340 5442 7120 7256 8544 9070 10680 10884 13605 14240 14512 18140 21360 21768 27210 29024 36280 42720 43536 54420 72560 80723 87072 108840 145120 161446 217680 242169 322892 403615 435360 484338 645784 807230 968676 1210845 1291568 1614460 1937352 2421690 2583136 3228920 3874704 4843380 6457840 7749408 9686760 12915680 19373520 38747040