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4535413000 = 235317431619
BaseRepresentation
bin1000011100101010…
…01110100100001000
3102201002011212000021
410032111032210020
533242031204000
62030013350224
7220251242266
oct41625164410
912632155007
104535413000
111a18138a08
12a66a98374
13573825541
143104c7436
151b828611a
hex10e54e908

4535413000 has 128 divisors (see below), whose sum is σ = 11281420800. Its totient is φ = 1700736000.

The previous prime is 4535412991. The next prime is 4535413009. The reversal of 4535413000 is 3145354.

It is an interprime number because it is at equal distance from previous prime (4535412991) and next prime (4535413009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4535413009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7326691 + ... + 7327309.

It is an arithmetic number, because the mean of its divisors is an integer number (88136100).

Almost surely, 24535413000 is an apocalyptic number.

4535413000 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 4535413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640710400).

4535413000 is an abundant number, since it is smaller than the sum of its proper divisors (6746007800).

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

4535413000 is a wasteful number, since it uses less digits than its factorization.

4535413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 4535413000 is about 67345.4749779078. The cubic root of 4535413000 is about 1655.2830967301.

Adding to 4535413000 its reverse (3145354), we get a palindrome (4538558354).

The spelling of 4535413000 in words is "four billion, five hundred thirty-five million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 431 500 619 680 850 862 1000 1238 1700 1724 2125 2155 2476 3095 3400 3448 4250 4310 4952 6190 7327 8500 8620 10523 10775 12380 14654 15475 17000 17240 21046 21550 24760 29308 30950 36635 42092 43100 52615 53875 58616 61900 73270 77375 84184 86200 105230 107750 123800 146540 154750 183175 210460 215500 263075 266789 293080 309500 366350 420920 431000 526150 533578 619000 732700 915875 1052300 1067156 1315375 1333945 1465400 1831750 2104600 2134312 2630750 2667890 3663500 4535413 5261500 5335780 6669725 7327000 9070826 10523000 10671560 13339450 18141652 22677065 26678900 33348625 36283304 45354130 53357800 66697250 90708260 113385325 133394500 181416520 226770650 266789000 453541300 566926625 907082600 1133853250 2267706500 4535413000