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5298384100 = 22522922512
BaseRepresentation
bin1001110111100111…
…01110110011100100
3111200020211210121011
410323303232303210
541322341242400
62233430432004
7245204343652
oct47363566344
914606753534
105298384100
112279888439
12103a502604
13665912029
14383973dd2
152102468ba
hex13bceece4

5298384100 has 81 divisors (see below), whose sum is σ = 11955259771. Its totient is φ = 2038120000.

The previous prime is 5298384097. The next prime is 5298384103. The reversal of 5298384100 is 14838925.

The square root of 5298384100 is 72790.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5298384097) and next prime (5298384103).

It can be written as a sum of positive squares in 4 ways, for example, as 72829156 + 5225554944 = 8534^2 + 72288^2 .

It is a super-2 number, since 2×52983841002 = 56145748142265620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5298384103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21108975 + ... + 21109225.

Almost surely, 25298384100 is an apocalyptic number.

5298384100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5298384100 is the 72790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5298384100

5298384100 is an abundant number, since it is smaller than the sum of its proper divisors (6656875671).

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

5298384100 is a wasteful number, since it uses less digits than its factorization.

5298384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The cubic root of 5298384100 is about 1743.3361918515.

The spelling of 5298384100 in words is "five billion, two hundred ninety-eight million, three hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 251 290 502 580 725 841 1004 1255 1450 1682 2510 2900 3364 4205 5020 6275 7279 8410 12550 14558 16820 21025 25100 29116 36395 42050 63001 72790 84100 126002 145580 181975 211091 252004 315005 363950 422182 630010 727900 844364 1055455 1260020 1575025 1827029 2110910 3150050 3654058 4221820 5277275 6300100 7308116 9135145 10554550 18270290 21109100 36540580 45675725 52983841 91351450 105967682 182702900 211935364 264919205 529838410 1059676820 1324596025 2649192050 5298384100