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38872240 = 24511163271
BaseRepresentation
bin1001010001001…
…0010010110000
32201010220200121
42110102102300
534422402430
63505100024
7651260101
oct224222260
981126617
1038872240
111aa40320
1211027614
138090434
14523c3a8
15362ca7a
hex25124b0

38872240 has 80 divisors (see below), whose sum is σ = 99565056. Its totient is φ = 13996800.

The previous prime is 38872199. The next prime is 38872247. The reversal of 38872240 is 4227883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×388722402 = 3022102085235200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38872196 and 38872205.

It is not an unprimeable number, because it can be changed into a prime (38872247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143305 + ... + 143575.

Almost surely, 238872240 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 38872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49782528).

38872240 is an abundant number, since it is smaller than the sum of its proper divisors (60692816).

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

38872240 is a wasteful number, since it uses less digits than its factorization.

38872240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 38872240 is about 6234.7606209060. The cubic root of 38872240 is about 338.7504305038.

It can be divided in two parts, 38 and 872240, that added together give a palindrome (872278).

The spelling of 38872240 in words is "thirty-eight million, eight hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 163 176 220 271 326 440 542 652 815 880 1084 1304 1355 1630 1793 2168 2608 2710 2981 3260 3586 4336 5420 5962 6520 7172 8965 10840 11924 13040 14344 14905 17930 21680 23848 28688 29810 35860 44173 47696 59620 71720 88346 119240 143440 176692 220865 238480 353384 441730 485903 706768 883460 971806 1766920 1943612 2429515 3533840 3887224 4859030 7774448 9718060 19436120 38872240