Search a number
-
+
38897280 = 273352251
BaseRepresentation
bin1001010001100…
…0011010000000
32201012012001000
42110120122000
534424203110
63505412000
7651423102
oct224303200
981165030
1038897280
111aa58114
121103a000
13809b956
145247572
1536351c0
hex2518680

38897280 has 128 divisors (see below), whose sum is σ = 137822400. Its totient is φ = 10368000.

The previous prime is 38897273. The next prime is 38897293. The reversal of 38897280 is 8279883.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16155 + ... + 18405.

Almost surely, 238897280 is an apocalyptic number.

38897280 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 38897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68911200).

38897280 is an abundant number, since it is smaller than the sum of its proper divisors (98925120).

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

38897280 is a wasteful number, since it uses less digits than its factorization.

38897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 38897280 is about 6236.7683939681. The cubic root of 38897280 is about 338.8231515519.

The spelling of 38897280 in words is "thirty-eight million, eight hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2251 2880 3456 4320 4502 5760 6753 8640 9004 11255 13506 17280 18008 20259 22510 27012 33765 36016 40518 45020 54024 60777 67530 72032 81036 90040 101295 108048 121554 135060 144064 162072 180080 202590 216096 243108 270120 288128 303885 324144 360160 405180 432192 486216 540240 607770 648288 720320 810360 864384 972432 1080480 1215540 1296576 1440640 1620720 1944864 2160960 2431080 2593152 3241440 3889728 4321920 4862160 6482880 7779456 9724320 12965760 19448640 38897280