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40000404 = 22323373917
BaseRepresentation
bin1001100010010…
…1101110010100
32210021020020110
42120211232110
540220003104
63545203020
7663666153
oct230455624
983236213
1040000404
1120640994
1211490470
138396aa2
14545359a
1537a1e89
hex2625b94

40000404 has 48 divisors (see below), whose sum is σ = 100050048. Its totient is φ = 12405888.

The previous prime is 40000369. The next prime is 40000409. The reversal of 40000404 is 40400004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 40000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8254 + ... + 12170.

It is an arithmetic number, because the mean of its divisors is an integer number (2084376).

Almost surely, 240000404 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 40000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50025024).

40000404 is an abundant number, since it is smaller than the sum of its proper divisors (60049644).

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

40000404 is a wasteful number, since it uses less digits than its factorization.

40000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40000404 is about 6324.5872592605. The cubic root of 40000404 is about 341.9963407153.

Adding to 40000404 its reverse (40400004), we get a palindrome (80400408).

It can be divided in two parts, 40000 and 404, that added together give a palindrome (40404).

The spelling of 40000404 in words is "forty million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 3917 5106 7834 10212 11751 15668 23502 47004 90091 144929 180182 270273 289858 360364 434787 540546 579716 869574 1081092 1739148 3333367 6666734 10000101 13333468 20000202 40000404