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5216310400 = 27527232871
BaseRepresentation
bin1001101101110101…
…01001010010000000
3111110112102000122111
410312322221102000
541140333413100
62221335345104
7243156623020
oct46672512200
914415360574
105216310400
112237520234
121016b22194
13651906b02
14376acba80
15207e336ba
hex136ea9480

5216310400 has 96 divisors (see below), whose sum is σ = 14726825280. Its totient is φ = 1788441600.

The previous prime is 5216310397. The next prime is 5216310409. The reversal of 5216310400 is 40136125.

It is not an unprimeable number, because it can be changed into a prime (5216310409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94036 + ... + 138835.

It is an arithmetic number, because the mean of its divisors is an integer number (153404430).

Almost surely, 25216310400 is an apocalyptic number.

5216310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5216310400 is an abundant number, since it is smaller than the sum of its proper divisors (9510514880).

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

5216310400 is a wasteful number, since it uses less digits than its factorization.

5216310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232902 (or 232885 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5216310400 is about 72224.0292423512. The cubic root of 5216310400 is about 1734.2876927184.

Adding to 5216310400 its reverse (40136125), we get a palindrome (5256446525).

The spelling of 5216310400 in words is "five billion, two hundred sixteen million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 232871 465742 931484 1164355 1630097 1862968 2328710 3260194 3725936 4657420 5821775 6520388 7451872 8150485 9314840 11643550 13040776 14903744 16300970 18629680 23287100 26081552 29807488 32601940 37259360 40752425 46574200 52163104 65203880 74518720 81504850 93148400 104326208 130407760 149037440 163009700 186296800 208652416 260815520 326019400 372593600 521631040 652038800 745187200 1043262080 1304077600 2608155200 5216310400