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4633394080 = 25576167819
BaseRepresentation
bin1000101000010101…
…11111101110100000
3102221220112210210011
410110022333232200
533442122102310
62043433414304
7222551125360
oct42412775640
912856483704
104633394080
111a68480607
12a9386a394
1358ac10103
1431d5109a0
151c1b8c78a
hex1142bfba0

4633394080 has 96 divisors (see below), whose sum is σ = 12715436160. Its totient is φ = 1562526720.

The previous prime is 4633394069. The next prime is 4633394083. The reversal of 4633394080 is 804933364.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4633394083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34411 + ... + 102229.

It is an arithmetic number, because the mean of its divisors is an integer number (132452460).

Almost surely, 24633394080 is an apocalyptic number.

4633394080 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 4633394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357718080).

4633394080 is an abundant number, since it is smaller than the sum of its proper divisors (8082042080).

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

4633394080 is a wasteful number, since it uses less digits than its factorization.

4633394080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67902 (or 67894 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 4633394080 is about 68069.0390706377. The cubic root of 4633394080 is about 1667.1182783282.

The spelling of 4633394080 in words is "four billion, six hundred thirty-three million, three hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 3416 4270 4880 6832 8540 9760 13664 17080 34160 67819 68320 135638 271276 339095 474733 542552 678190 949466 1085104 1356380 1898932 2170208 2373665 2712760 3797864 4136959 4747330 5425520 7595728 8273918 9494660 10851040 15191456 16547836 18989320 20684795 28958713 33095672 37978640 41369590 57917426 66191344 75957280 82739180 115834852 132382688 144793565 165478360 231669704 289587130 330956720 463339408 579174260 661913440 926678816 1158348520 2316697040 4633394080