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4422892040 = 2357172633533
BaseRepresentation
bin1000001111001111…
…11111101000001000
3102102020110012021022
410013213333220020
533024230021130
62010513532012
7214413650660
oct40747775010
912366405238
104422892040
11196a675286
12a35274008
135564198a8
142dd5971a0
151ad45b7e5
hex1079ffa08

4422892040 has 128 divisors (see below), whose sum is σ = 12091368960. Its totient is φ = 1421389824.

The previous prime is 4422892039. The next prime is 4422892069. The reversal of 4422892040 is 402982244.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 1250114 + ... + 1253646.

It is an arithmetic number, because the mean of its divisors is an integer number (94463820).

Almost surely, 24422892040 is an apocalyptic number.

4422892040 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 4422892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045684480).

4422892040 is an abundant number, since it is smaller than the sum of its proper divisors (7668476920).

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

4422892040 is a wasteful number, since it uses less digits than its factorization.

4422892040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 4422892040 is about 66504.8271932196. The cubic root of 4422892040 is about 1641.4794353826.

The spelling of 4422892040 in words is "four billion, four hundred twenty-two million, eight hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 263 280 340 476 526 595 680 952 1052 1190 1315 1841 2104 2380 2630 3533 3682 4471 4760 5260 7066 7364 8942 9205 10520 14132 14728 17665 17884 18410 22355 24731 28264 31297 35330 35768 36820 44710 49462 60061 62594 70660 73640 89420 98924 120122 123655 125188 141320 156485 178840 197848 240244 247310 250376 300305 312970 420427 480488 494620 600610 625940 840854 929179 989240 1201220 1251880 1681708 1858358 2102135 2402440 3363416 3716716 4204270 4645895 6504253 7433432 8408540 9291790 13008506 15796043 16817080 18583580 26017012 31592086 32521265 37167160 52034024 63184172 65042530 78980215 110572301 126368344 130085060 157960430 221144602 260170120 315920860 442289204 552861505 631841720 884578408 1105723010 2211446020 4422892040