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4053327640 = 235536133119
BaseRepresentation
bin1111000110011000…
…1101111100011000
3101110111001101012221
43301212031330120
531300122441030
61510112513424
7202305500515
oct36146157430
911414041187
104053327640
11179aaa805a
1295154b874
134c79a362b
142a647630c
1518acaae7a
hexf198df18

4053327640 has 64 divisors (see below), whose sum is σ = 9310204800. Its totient is φ = 1587635712.

The previous prime is 4053327631. The next prime is 4053327643. The reversal of 4053327640 is 467233504.

It is a junction number, because it is equal to n+sod(n) for n = 4053327596 and 4053327605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053327643) 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 15 ways as a sum of consecutive naturals, for example, 1298001 + ... + 1301119.

It is an arithmetic number, because the mean of its divisors is an integer number (145471950).

Almost surely, 24053327640 is an apocalyptic number.

4053327640 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 4053327640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655102400).

4053327640 is an abundant number, since it is smaller than the sum of its proper divisors (5256877160).

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

4053327640 is a wasteful number, since it uses less digits than its factorization.

4053327640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 4053327640 is about 63665.7493476673. The cubic root of 4053327640 is about 1594.4242953942.

The spelling of 4053327640 in words is "four billion, fifty-three million, three hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 613 1060 1226 2120 2452 3065 3119 4904 6130 6238 12260 12476 15595 24520 24952 31190 32489 62380 64978 124760 129956 162445 165307 259912 324890 330614 649780 661228 826535 1299560 1322456 1653070 1911947 3306140 3823894 6612280 7647788 9559735 15295576 19119470 38238940 76477880 101333191 202666382 405332764 506665955 810665528 1013331910 2026663820 4053327640