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4082030040 = 2335113092447
BaseRepresentation
bin1111001101001110…
…1101010111011000
3101112111001121111210
43303103231113120
531324444430130
61513020023120
7203104453134
oct36323552730
911474047453
104082030040
111805221650
1295b091aa0
13500912aba
142aa1c83c4
1518d57a5b0
hexf34ed5d8

4082030040 has 64 divisors (see below), whose sum is σ = 13359375360. Its totient is φ = 989582720.

The previous prime is 4082030011. The next prime is 4082030047. The reversal of 4082030040 is 400302804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4082029989 and 4082030016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082030047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544904 + ... + 1547543.

It is an arithmetic number, because the mean of its divisors is an integer number (208740240).

Almost surely, 24082030040 is an apocalyptic number.

4082030040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082030040 is an abundant number, since it is smaller than the sum of its proper divisors (9277345320).

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

4082030040 is a wasteful number, since it uses less digits than its factorization.

4082030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092472 (or 3092468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4082030040 is about 63890.7664690290. The cubic root of 4082030040 is about 1598.1789228769.

Adding to 4082030040 its reverse (400302804), we get a palindrome (4482332844).

The spelling of 4082030040 in words is "four billion, eighty-two million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3092447 6184894 9277341 12369788 15462235 18554682 24739576 30924470 34016917 37109364 46386705 61848940 68033834 74218728 92773410 102050751 123697880 136067668 170084585 185546820 204101502 272135336 340169170 371093640 408203004 510253755 680338340 816406008 1020507510 1360676680 2041015020 4082030040