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4534433640 = 23325111145059
BaseRepresentation
bin1000011100100010…
…11111011101101000
3102201000100002120200
410032101133131220
533241303334030
62025540352200
7220240023102
oct41621373550
912630302520
104534433640
111a1762a120
12a666a5660
13573571839
14310310572
151b8140d60
hex10e45f768

4534433640 has 96 divisors (see below), whose sum is σ = 16076642400. Its totient is φ = 1099255680.

The previous prime is 4534433639. The next prime is 4534433641. The reversal of 4534433640 is 463344354.

4534433640 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 4 + 3 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4534433639) and next prime (4534433641).

It is a super-2 number, since 2×45344336402 = 41122176871127299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4534433595 and 4534433604.

It is not an unprimeable number, because it can be changed into a prime (4534433641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 568570 + ... + 576489.

It is an arithmetic number, because the mean of its divisors is an integer number (167465025).

Almost surely, 24534433640 is an apocalyptic number.

4534433640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4534433640 is an abundant number, since it is smaller than the sum of its proper divisors (11542208760).

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

4534433640 is a wasteful number, since it uses less digits than its factorization.

4534433640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145087 (or 1145080 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The square root of 4534433640 is about 67338.2034212378. The cubic root of 4534433640 is about 1655.1639429541.

Adding to 4534433640 its reverse (463344354), we get a palindrome (4997777994).

The spelling of 4534433640 in words is "four billion, five hundred thirty-four million, four hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 1145059 2290118 3435177 4580236 5725295 6870354 9160472 10305531 11450590 12595649 13740708 17175885 20611062 22901180 25191298 27481416 34351770 37786947 41222124 45802360 50382596 51527655 62978245 68703540 75573894 82444248 100765192 103055310 113360841 125956490 137407080 151147788 188934735 206110620 226721682 251912980 302295576 377869470 412221240 453443364 503825960 566804205 755738940 906886728 1133608410 1511477880 2267216820 4534433640