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5413303800 = 2332524173351
BaseRepresentation
bin1010000101010100…
…00111010111111000
3111222021002022210100
411002222013113320
542041301210200
62253053515400
7251101215552
oct50252072770
914867068710
105413303800
11232873a2a3
121070aa2b60
1368367a758
14394d2a4d2
1521a396d00
hex142a875f8

5413303800 has 144 divisors (see below), whose sum is σ = 18623339280. Its totient is φ = 1408320000.

The previous prime is 5413303799. The next prime is 5413303837. The reversal of 5413303800 is 83033145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37125 + ... + 110475.

It is an arithmetic number, because the mean of its divisors is an integer number (129328745).

Almost surely, 25413303800 is an apocalyptic number.

5413303800 is a gapful number since it is divisible by the number (50) 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 5413303800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311669640).

5413303800 is an abundant number, since it is smaller than the sum of its proper divisors (13210035480).

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

5413303800 is a wasteful number, since it uses less digits than its factorization.

5413303800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73414 (or 73402 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5413303800 is about 73575.1574921862. The cubic root of 5413303800 is about 1755.8502223664.

Adding to 5413303800 its reverse (83033145), we get a palindrome (5496336945).

The spelling of 5413303800 in words is "five billion, four hundred thirteen million, three hundred three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 600 615 738 820 900 984 1025 1230 1476 1640 1800 1845 2050 2460 2952 3075 3690 4100 4920 6150 7380 8200 9225 12300 14760 18450 24600 36900 73351 73800 146702 220053 293404 366755 440106 586808 660159 733510 880212 1100265 1320318 1467020 1760424 1833775 2200530 2640636 2934040 3007391 3300795 3667550 4401060 5281272 5501325 6014782 6601590 7335100 8802120 9022173 11002650 12029564 13203180 14670200 15036955 16503975 18044346 22005300 24059128 26406360 27066519 30073910 33007950 36088692 44010600 45110865 54133038 60147820 66015900 72177384 75184775 90221730 108266076 120295640 132031800 135332595 150369550 180443460 216532152 225554325 270665190 300739100 360886920 451108650 541330380 601478200 676662975 902217300 1082660760 1353325950 1804434600 2706651900 5413303800