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38940640 = 255257947
BaseRepresentation
bin1001010010001…
…0111111100000
32201021101111221
42110202333200
534432100030
63510344424
7651663364
oct224427740
981241457
1038940640
111aa87752
121105b114
1380b55cb
1452592a4
153642e7a
hex2522fe0

38940640 has 48 divisors (see below), whose sum is σ = 92452752. Its totient is φ = 15499264.

The previous prime is 38940607. The next prime is 38940641. The reversal of 38940640 is 4604983.

It is a junction number, because it is equal to n+sod(n) for n = 38940596 and 38940605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38940641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40647 + ... + 41593.

It is an arithmetic number, because the mean of its divisors is an integer number (1926099).

Almost surely, 238940640 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 38940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46226376).

38940640 is an abundant number, since it is smaller than the sum of its proper divisors (53512112).

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

38940640 is a wasteful number, since it uses less digits than its factorization.

38940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 38940640 is about 6240.2435849893. The cubic root of 38940640 is about 338.9490036788.

The spelling of 38940640 in words is "thirty-eight million, nine hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 514 947 1028 1285 1894 2056 2570 3788 4112 4735 5140 7576 8224 9470 10280 15152 18940 20560 30304 37880 41120 75760 151520 243379 486758 973516 1216895 1947032 2433790 3894064 4867580 7788128 9735160 19470320 38940640