Search a number
-
+
38574240 = 253580363
BaseRepresentation
bin1001001100100…
…1100010100000
32200120202220120
42103021202200
534333333430
63454440240
7645606225
oct223114240
980522816
1038574240
111a857441
1210b03080
137cb78c3
1451a194c
1535be610
hex24c98a0

38574240 has 48 divisors (see below), whose sum is σ = 121510368. Its totient is φ = 10286336.

The previous prime is 38574209. The next prime is 38574247. The reversal of 38574240 is 4247583.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (38574247) 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, 39702 + ... + 40661.

It is an arithmetic number, because the mean of its divisors is an integer number (2531466).

Almost surely, 238574240 is an apocalyptic number.

38574240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38574240 is an abundant number, since it is smaller than the sum of its proper divisors (82936128).

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

38574240 is a wasteful number, since it uses less digits than its factorization.

38574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80381 (or 80373 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 38574240 is about 6210.8163714604. The cubic root of 38574240 is about 337.8825730293.

The spelling of 38574240 in words is "thirty-eight million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 80363 160726 241089 321452 401815 482178 642904 803630 964356 1205445 1285808 1607260 1928712 2410890 2571616 3214520 3857424 4821780 6429040 7714848 9643560 12858080 19287120 38574240