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4531092640 = 255192935087
BaseRepresentation
bin1000011100001001…
…01111110010100000
3102200210001100120221
410032010233302200
533234424431030
62025341012424
7220166436424
oct41604576240
912623040527
104531092640
111a15757a68
12a65554114
13572971c09
1430dac0b84
151b7bd0e7a
hex10e12fca0

4531092640 has 96 divisors (see below), whose sum is σ = 11308792320. Its totient is φ = 1710849024.

The previous prime is 4531092563. The next prime is 4531092647. The reversal of 4531092640 is 462901354.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4531092596 and 4531092605.

It is not an unprimeable number, because it can be changed into a prime (4531092647) 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, 888177 + ... + 893263.

It is an arithmetic number, because the mean of its divisors is an integer number (117799920).

Almost surely, 24531092640 is an apocalyptic number.

4531092640 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 4531092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654396160).

4531092640 is an abundant number, since it is smaller than the sum of its proper divisors (6777699680).

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

4531092640 is a wasteful number, since it uses less digits than its factorization.

4531092640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 4531092640 is about 67313.3912382967. The cubic root of 4531092640 is about 1654.7573312444.

Adding to 4531092640 its reverse (462901354), we get a palindrome (4993993994).

The spelling of 4531092640 in words is "four billion, five hundred thirty-one million, ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 293 304 380 586 608 760 1172 1465 1520 2344 2930 3040 4688 5087 5567 5860 9376 10174 11134 11720 20348 22268 23440 25435 27835 40696 44536 46880 50870 55670 81392 89072 96653 101740 111340 162784 178144 193306 203480 222680 386612 406960 445360 483265 773224 813920 890720 966530 1490491 1546448 1933060 2980982 3092896 3866120 5961964 7452455 7732240 11923928 14904910 15464480 23847856 28319329 29809820 47695712 56638658 59619640 113277316 119239280 141596645 226554632 238478560 283193290 453109264 566386580 906218528 1132773160 2265546320 4531092640