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4000428440 = 235175882983
BaseRepresentation
bin1110111001110001…
…1011000110011000
3101022210111211011022
43232130123012120
531143102202230
61500543022012
7201064036451
oct35634330630
911283454138
104000428440
111773157108
1293789a908
134b9a41728
1429d426128
1518630c1e5
hexee71b198

4000428440 has 32 divisors (see below), whose sum is σ = 9530434080. Its totient is φ = 1506043392.

The previous prime is 4000428413. The next prime is 4000428451. The reversal of 4000428440 is 448240004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940812 + ... + 2942171.

It is an arithmetic number, because the mean of its divisors is an integer number (297826065).

Almost surely, 24000428440 is an apocalyptic number.

4000428440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000428440 is an abundant number, since it is smaller than the sum of its proper divisors (5530005640).

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

4000428440 is a wasteful number, since it uses less digits than its factorization.

4000428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883011 (or 5883007 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4000428440 is about 63248.9402282758. The cubic root of 4000428440 is about 1587.4577254537.

Adding to 4000428440 its reverse (448240004), we get a palindrome (4448668444).

The spelling of 4000428440 in words is "four billion, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5882983 11765966 23531932 29414915 47063864 58829830 100010711 117659660 200021422 235319320 400042844 500053555 800085688 1000107110 2000214220 4000428440