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387999540 = 223256533301
BaseRepresentation
bin10111001000000…
…110011100110100
31000001002102022100
4113020012130310
51243311441130
6102300102100
712420640665
oct2710063464
91001072270
10387999540
1118a019885
12a9b34930
13624cc336
143975d36c
15240e2c60
hex17206734

387999540 has 72 divisors (see below), whose sum is σ = 1179091368. Its totient is φ = 103276800.

The previous prime is 387999539. The next prime is 387999553. The reversal of 387999540 is 45999783.

387999540 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 99 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 387774864 = 474^2 + 19692^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115890 + ... + 119190.

It is an arithmetic number, because the mean of its divisors is an integer number (16376269).

Almost surely, 2387999540 is an apocalyptic number.

387999540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387999540 is an abundant number, since it is smaller than the sum of its proper divisors (791091828).

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

387999540 is a wasteful number, since it uses less digits than its factorization.

387999540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 387999540 is about 19697.7039271078. The cubic root of 387999540 is about 729.3630147404.

The spelling of 387999540 in words is "three hundred eighty-seven million, nine hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 653 1306 1959 2612 3265 3301 3918 5877 6530 6602 7836 9795 9903 11754 13060 13204 16505 19590 19806 23508 29385 29709 33010 39180 39612 49515 58770 59418 66020 99030 117540 118836 148545 198060 297090 594180 2155553 4311106 6466659 8622212 10777765 12933318 19399977 21555530 25866636 32333295 38799954 43111060 64666590 77599908 96999885 129333180 193999770 387999540