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4094451840 = 27353116857
BaseRepresentation
bin1111010000001100…
…0110000010000000
3101120100102201000110
43310003012002000
531341134424330
61514142151320
7203315160243
oct36403060200
911510381013
104094451840
1118112362a6
12963282540
13503371a8b
142abadd25a
1518e6d0db0
hexf40c6080

4094451840 has 128 divisors (see below), whose sum is σ = 13094939520. Its totient is φ = 1088184320.

The previous prime is 4094451833. The next prime is 4094451841. The reversal of 4094451840 is 481544904.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4094451841) 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, 593692 + ... + 600548.

It is an arithmetic number, because the mean of its divisors is an integer number (102304215).

Almost surely, 24094451840 is an apocalyptic number.

4094451840 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 4094451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547469760).

4094451840 is an abundant number, since it is smaller than the sum of its proper divisors (9000487680).

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

4094451840 is a wasteful number, since it uses less digits than its factorization.

4094451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4094451840 is about 63987.9038569010. The cubic root of 4094451840 is about 1599.7983912639.

The spelling of 4094451840 in words is "four billion, ninety-four million, four hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 311 320 384 480 622 640 933 960 1244 1555 1866 1920 2488 3110 3732 4665 4976 6220 6857 7464 9330 9952 12440 13714 14928 18660 19904 20571 24880 27428 29856 34285 37320 39808 41142 49760 54856 59712 68570 74640 82284 99520 102855 109712 119424 137140 149280 164568 199040 205710 219424 274280 298560 329136 411420 438848 548560 597120 658272 822840 877696 1097120 1316544 1645680 2132527 2194240 2633088 3291360 4265054 4388480 6397581 6582720 8530108 10662635 12795162 13165440 17060216 21325270 25590324 31987905 34120432 42650540 51180648 63975810 68240864 85301080 102361296 127951620 136481728 170602160 204722592 255903240 272963456 341204320 409445184 511806480 682408640 818890368 1023612960 1364817280 2047225920 4094451840