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5348857200 = 2435219234599
BaseRepresentation
bin1001111101101000…
…10001010101110000
3111210202211002200020
410332310101111300
541423301412300
62242432323440
7246356351601
oct47664212560
914722732606
105348857200
1122a5321645
1210533a3580
1367320487b
1438a551da8
152148b68a0
hex13ed11570

5348857200 has 120 divisors (see below), whose sum is σ = 18036048000. Its totient is φ = 1351284480.

The previous prime is 5348857141. The next prime is 5348857249. The reversal of 5348857200 is 27588435.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×53488572002 = 57220546691983680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94500 + ... + 140099.

It is an arithmetic number, because the mean of its divisors is an integer number (150300400).

Almost surely, 25348857200 is an apocalyptic number.

5348857200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5348857200 is an abundant number, since it is smaller than the sum of its proper divisors (12687190800).

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

5348857200 is a wasteful number, since it uses less digits than its factorization.

5348857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234639 (or 234628 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5348857200 is about 73135.8817544439. The cubic root of 5348857200 is about 1748.8544557363.

The spelling of 5348857200 in words is "five billion, three hundred forty-eight million, eight hundred fifty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 234599 469198 703797 938396 1172995 1407594 1876792 2345990 2815188 3518985 3753584 4457381 4691980 5630376 5864975 7037970 8914762 9383960 11260752 11729950 13372143 14075940 17594925 17829524 18767920 22286905 23459900 26744286 28151880 35189850 35659048 44573810 46919800 53488572 56303760 66860715 70379700 71318096 89147620 93839600 106977144 111434525 133721430 140759400 178295240 213954288 222869050 267442860 281518800 334303575 356590480 445738100 534885720 668607150 891476200 1069771440 1337214300 1782952400 2674428600 5348857200