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38665872 = 2432789431
BaseRepresentation
bin1001001101111…
…1111010010000
32200202102121100
42103133322100
534344301442
63500424400
7646440330
oct223377220
980672540
1038665872
111a90a273
1210b48100
13801a51b
1451c70c0
1535db84c
hex24dfe90

38665872 has 120 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 10897920.

The previous prime is 38665859. The next prime is 38665873. The reversal of 38665872 is 27856683.

38665872 is a `hidden beast` number, since 3 + 8 + 66 + 587 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (38665873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89497 + ... + 89927.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 238665872 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 38665872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

38665872 is an abundant number, since it is smaller than the sum of its proper divisors (86683248).

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

38665872 is a wasteful number, since it uses less digits than its factorization.

38665872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38665872 is about 6218.1888038238. The cubic root of 38665872 is about 338.1499049127.

The spelling of 38665872 in words is "thirty-eight million, six hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 431 504 534 623 712 801 862 1008 1068 1246 1293 1424 1602 1724 1869 2136 2492 2586 3017 3204 3448 3738 3879 4272 4984 5172 5607 6034 6408 6896 7476 7758 9051 9968 10344 11214 12068 12816 14952 15516 18102 20688 22428 24136 27153 29904 31032 36204 38359 44856 48272 54306 62064 72408 76718 89712 108612 115077 144816 153436 217224 230154 268513 306872 345231 434448 460308 537026 613744 690462 805539 920616 1074052 1380924 1611078 1841232 2148104 2416617 2761848 3222156 4296208 4833234 5523696 6444312 9666468 12888624 19332936 38665872