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387996 = 223731149
BaseRepresentation
bin1011110101110011100
3201201020020
41132232130
544403441
612152140
73204120
oct1365634
9651206
10387996
11245564
12168650
131077ab
14a1580
1579e66
hex5eb9c

387996 has 48 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 106560.

The previous prime is 387977. The next prime is 388009. The reversal of 387996 is 699783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387996.

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, 2530 + ... + 2678.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2387996 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 387996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

387996 is an abundant number, since it is smaller than the sum of its proper divisors (687204).

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

387996 is a wasteful number, since it uses less digits than its factorization.

387996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 387996 is about 622.8932492811. The cubic root of 387996 is about 72.9360796565.

The spelling of 387996 in words is "three hundred eighty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 149 186 217 298 372 434 447 596 651 868 894 1043 1302 1788 2086 2604 3129 4172 4619 6258 9238 12516 13857 18476 27714 32333 55428 64666 96999 129332 193998 387996