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387146496 = 2831145827
BaseRepresentation
bin10111000100110…
…110001100000000
3222222111002011010
4113010312030000
51243102141441
6102225520520
712410455662
oct2704661400
9888432133
10387146496
11189596990
12a97a3140
1362290c89
14395ba532
1523ec5116
hex17136300

387146496 has 72 divisors (see below), whose sum is σ = 1124069184. Its totient is φ = 117314560.

The previous prime is 387146483. The next prime is 387146561. The reversal of 387146496 is 694641783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14466 + ... + 31361.

It is an arithmetic number, because the mean of its divisors is an integer number (15612072).

Almost surely, 2387146496 is an apocalyptic number.

It is an amenable number.

387146496 is an abundant number, since it is smaller than the sum of its proper divisors (736922688).

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

387146496 is a wasteful number, since it uses less digits than its factorization.

387146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45857 (or 45843 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 387146496 is about 19676.0386256990. The cubic root of 387146496 is about 728.8281040813.

The spelling of 387146496 in words is "three hundred eighty-seven million, one hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 45827 91654 137481 183308 274962 366616 504097 549924 733232 1008194 1099848 1466464 1512291 2016388 2199696 2932928 3024582 4032776 4399392 5865856 6049164 8065552 8798784 11731712 12098328 16131104 17597568 24196656 32262208 35195136 48393312 64524416 96786624 129048832 193573248 387146496