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5234267700 = 223252173131093
BaseRepresentation
bin1001101111111110…
…01001011000110100
3111111210012100102200
410313333021120310
541204433031300
62223220304500
7243465353454
oct46777113064
914453170380
105234267700
112246675882
121020b42130
1365555352c
14379243d64
152097ce200
hex137fc9634

5234267700 has 216 divisors, whose sum is σ = 17443055448. Its totient is φ = 1308303360.

The previous prime is 5234267677. The next prime is 5234267719. The reversal of 5234267700 is 77624325.

It is a happy number.

5234267700 is a `hidden beast` number, since 523 + 4 + 2 + 67 + 70 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 821854224 + 4412413476 = 28668^2 + 66426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4788354 + ... + 4789446.

Almost surely, 25234267700 is an apocalyptic number.

5234267700 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 5234267700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721527724).

5234267700 is an abundant number, since it is smaller than the sum of its proper divisors (12208787748).

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

5234267700 is a wasteful number, since it uses less digits than its factorization.

5234267700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5234267700 is about 72348.2390939821. The cubic root of 5234267700 is about 1736.2755253149.

The spelling of 5234267700 in words is "five billion, two hundred thirty-four million, two hundred sixty-seven thousand, seven hundred".