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4004020412 = 2272310495927
BaseRepresentation
bin1110111010101000…
…1000000010111100
3101100001021022102022
43232222020002330
531200012123122
61501152015312
7201136416620
oct35652100274
911301238368
104004020412
11177518a887
12938b31538
134ba6cb662
1429dabd180
151867bb642
hexeea880bc

4004020412 has 48 divisors (see below), whose sum is σ = 8365593600. Its totient is φ = 1639558272.

The previous prime is 4004020409. The next prime is 4004020451. The reversal of 4004020412 is 2140204004.

It is a congruent number.

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, 672593 + ... + 678519.

It is an arithmetic number, because the mean of its divisors is an integer number (174283200).

Almost surely, 24004020412 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 4004020412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182796800).

4004020412 is an abundant number, since it is smaller than the sum of its proper divisors (4361573188).

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

4004020412 is a wasteful number, since it uses less digits than its factorization.

4004020412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4004020412 is about 63277.3293684239. The cubic root of 4004020412 is about 1587.9327077382.

Adding to 4004020412 its reverse (2140204004), we get a palindrome (6144224416).

The spelling of 4004020412 in words is "four billion, four million, twenty thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1049 2098 4196 5927 7343 11854 14686 23708 24127 29372 41489 48254 82978 96508 136321 165956 168889 272642 337778 545284 675556 954247 1908494 3816988 6217423 12434846 24869692 43521961 87043922 143000729 174087844 286001458 572002916 1001005103 2002010206 4004020412