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4207984 = 241123909
BaseRepresentation
bin10000000011010101110000
321220210021021
4100003111300
52034123414
6230105224
750524114
oct20032560
97823237
104207984
112414580
1214ab214
13b44441
147b7744
15581c24
hex403570

4207984 has 20 divisors (see below), whose sum is σ = 8894520. Its totient is φ = 1912640.

The previous prime is 4207981. The next prime is 4207991. The reversal of 4207984 is 4897024.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11779 + ... + 12130.

It is an arithmetic number, because the mean of its divisors is an integer number (444726).

Almost surely, 24207984 is an apocalyptic number.

4207984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4207984 is an abundant number, since it is smaller than the sum of its proper divisors (4686536).

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

4207984 is a wasteful number, since it uses less digits than its factorization.

4207984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23928 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4207984 is about 2051.3371249017. The cubic root of 4207984 is about 161.4450349237.

The spelling of 4207984 in words is "four million, two hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 23909 47818 95636 191272 262999 382544 525998 1051996 2103992 4207984