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4003992 = 233437167
BaseRepresentation
bin1111010001100010011000
321112102110000
433101202120
52011111432
6221453000
746014306
oct17214230
97472400
104003992
112295293
121411160
13aa2635
14763276
1554157c
hex3d1898

4003992 has 80 divisors (see below), whose sum is σ = 11586960. Its totient is φ = 1290816.

The previous prime is 4003981. The next prime is 4003999. The reversal of 4003992 is 2993004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003999) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23893 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

Almost surely, 24003992 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 4003992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793480).

4003992 is an abundant number, since it is smaller than the sum of its proper divisors (7582968).

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

4003992 is a wasteful number, since it uses less digits than its factorization.

4003992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4003992 is about 2000.9977511232. The cubic root of 4003992 is about 158.7928951809.

Adding to 4003992 its reverse (2993004), we get a palindrome (6996996).

The spelling of 4003992 in words is "four million, three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 167 216 222 296 324 333 334 444 501 648 666 668 888 999 1002 1332 1336 1503 1998 2004 2664 2997 3006 3996 4008 4509 5994 6012 6179 7992 9018 11988 12024 12358 13527 18036 18537 23976 24716 27054 36072 37074 49432 54108 55611 74148 108216 111222 148296 166833 222444 333666 444888 500499 667332 1000998 1334664 2001996 4003992