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5252797440 = 2103251143241
BaseRepresentation
bin1001110010001011…
…10101010000000000
3111120002001202110100
410321011311100000
541224204004230
62225121402400
7244112020152
oct47105652000
914502052410
105252797440
112256081510
121027199400
13659340687
1437b8a8ad2
1520b23e660
hex139175400

5252797440 has 528 divisors, whose sum is σ = 20401482816. Its totient is φ = 1238630400.

The previous prime is 5252797427. The next prime is 5252797441. The reversal of 5252797440 is 447972525.

5252797440 is a `hidden beast` number, since 52 + 527 + 9 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252797441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21795720 + ... + 21795960.

It is an arithmetic number, because the mean of its divisors is an integer number (38639172).

Almost surely, 25252797440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5252797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200741408).

5252797440 is an abundant number, since it is smaller than the sum of its proper divisors (15148685376).

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

5252797440 is a wasteful number, since it uses less digits than its factorization.

5252797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5252797440 is about 72476.1853300793. The cubic root of 5252797440 is about 1738.3219652801.

The spelling of 5252797440 in words is "five billion, two hundred fifty-two million, seven hundred ninety-seven thousand, four hundred forty".