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38712040 = 2354371317
BaseRepresentation
bin1001001110101…
…1001011101000
32200211202221021
42103223023220
534402241130
63501422224
7650022043
oct223531350
980752837
1038712040
111a940a24
1210b6a974
138035543
1451d9c5a
1535ea37a
hex24eb2e8

38712040 has 64 divisors (see below), whose sum is σ = 90668160. Its totient is φ = 14864640.

The previous prime is 38712029. The next prime is 38712041. The reversal of 38712040 is 4021783.

38712040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38711996 and 38712014.

It is not an unprimeable number, because it can be changed into a prime (38712041) 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, 121962 + ... + 122278.

It is an arithmetic number, because the mean of its divisors is an integer number (1416690).

Almost surely, 238712040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38712040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334080).

38712040 is an abundant number, since it is smaller than the sum of its proper divisors (51956120).

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

38712040 is a wasteful number, since it uses less digits than its factorization.

38712040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 38712040 is about 6221.9000313409. The cubic root of 38712040 is about 338.2844378099.

The spelling of 38712040 in words is "thirty-eight million, seven hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 215 284 317 344 355 430 568 634 710 860 1268 1420 1585 1720 2536 2840 3053 3170 6106 6340 12212 12680 13631 15265 22507 24424 27262 30530 45014 54524 61060 68155 90028 109048 112535 122120 136310 180056 225070 272620 450140 545240 900280 967801 1935602 3871204 4839005 7742408 9678010 19356020 38712040