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4254465040 = 245741185299
BaseRepresentation
bin1111110110010101…
…1111110000010000
3101222111112012212021
43331211133300100
532203120340130
61542055541224
7210300233110
oct37545376020
911874465767
104254465040
111893597611
129a898a814
1352a568547
142c5073040
1519d78c37a
hexfd95fc10

4254465040 has 80 divisors (see below), whose sum is σ = 11580508800. Its totient is φ = 1423088640.

The previous prime is 4254465031. The next prime is 4254465041. The reversal of 4254465040 is 405644524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4254464987 and 4254465005.

It is not an unprimeable number, because it can be changed into a prime (4254465041) 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, 69690 + ... + 115609.

It is an arithmetic number, because the mean of its divisors is an integer number (144756360).

Almost surely, 24254465040 is an apocalyptic number.

4254465040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4254465040 is an abundant number, since it is smaller than the sum of its proper divisors (7326043760).

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

4254465040 is a wasteful number, since it uses less digits than its factorization.

4254465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185360 (or 185354 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 4254465040 is about 65226.2603557800. The cubic root of 4254465040 is about 1620.3729568584.

It can be divided in two parts, 42544 and 65040, that added together give a square (107584 = 3282).

The spelling of 4254465040 in words is "four billion, two hundred fifty-four million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 185299 370598 741196 926495 1297093 1482392 1852990 2594186 2964784 3705980 5188372 6485465 7411960 7597259 10376744 12970930 14823920 15194518 20753488 25941860 30389036 37986295 51883720 53180813 60778072 75972590 103767440 106361626 121556144 151945180 212723252 265904065 303890360 425446504 531808130 607780720 850893008 1063616260 2127232520 4254465040