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4000852840 = 235714393209
BaseRepresentation
bin1110111001111000…
…0010101101101000
3101022211022101022211
43232132002231220
531143204242330
61501000054504
7201100454665
oct35636025550
911284271284
104000852840
111773416a56
12937a64434
134b9b5c95a
1429d4d6a6c
15186392d2a
hexee782b68

4000852840 has 64 divisors (see below), whose sum is σ = 9152352000. Its totient is φ = 1573716480.

The previous prime is 4000852813. The next prime is 4000852861. The reversal of 4000852840 is 482580004.

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 15 ways as a sum of consecutive naturals, for example, 1245156 + ... + 1248364.

It is an arithmetic number, because the mean of its divisors is an integer number (143005500).

Almost surely, 24000852840 is an apocalyptic number.

4000852840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000852840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576176000).

4000852840 is an abundant number, since it is smaller than the sum of its proper divisors (5151499160).

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

4000852840 is a wasteful number, since it uses less digits than its factorization.

4000852840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 4000852840 is about 63252.2951362241. The cubic root of 4000852840 is about 1587.5138605440.

The spelling of 4000852840 in words is "four billion, eight hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 439 568 710 878 1420 1756 2195 2840 3209 3512 4390 6418 8780 12836 16045 17560 25672 31169 32090 62338 64180 124676 128360 155845 227839 249352 311690 455678 623380 911356 1139195 1246760 1408751 1822712 2278390 2817502 4556780 5635004 7043755 9113560 11270008 14087510 28175020 56350040 100021321 200042642 400085284 500106605 800170568 1000213210 2000426420 4000852840