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38986560 = 2632513537
BaseRepresentation
bin1001010010111…
…0001101000000
32201100201111200
42110232031000
534440032220
63511341200
7652244304
oct224561500
981321450
1038986560
11200091a8
1211081800
138100492
14526bd04
153651890
hex252e340

38986560 has 84 divisors (see below), whose sum is σ = 134107428. Its totient is φ = 10395648.

The previous prime is 38986543. The next prime is 38986573. The reversal of 38986560 is 6568983.

38986560 is a `hidden beast` number, since 3 + 8 + 9 + 86 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 10342656 = 5352^2 + 3216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3889 + ... + 9648.

It is an arithmetic number, because the mean of its divisors is an integer number (1596517).

Almost surely, 238986560 is an apocalyptic number.

38986560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38986560 is an abundant number, since it is smaller than the sum of its proper divisors (95120868).

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

38986560 is a wasteful number, since it uses less digits than its factorization.

38986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13560 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 38986560 is about 6243.9218444820. The cubic root of 38986560 is about 339.0821843712.

The spelling of 38986560 in words is "thirty-eight million, nine hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 13537 27074 40611 54148 67685 81222 108296 121833 135370 162444 203055 216592 243666 270740 324888 406110 433184 487332 541480 609165 649776 812220 866368 974664 1082960 1218330 1299552 1624440 1949328 2165920 2436660 2599104 3248880 3898656 4331840 4873320 6497760 7797312 9746640 12995520 19493280 38986560