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5352256440 = 233454143937
BaseRepresentation
bin1001111110000010…
…01111001110111000
3111211000012210120000
410333001033032320
541430134201230
62243033233000
7246430300116
oct47701171670
914730183500
105352256440
1122a7233533
121054562760
13673b24b5b
1438ab98ab6
15214d38b60
hex13f04f3b8

5352256440 has 320 divisors, whose sum is σ = 18876987360. Its totient is φ = 1358622720.

The previous prime is 5352256417. The next prime is 5352256451. The reversal of 5352256440 is 446522535.

5352256440 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 2 + 5 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5352256395 and 5352256404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5711652 + ... + 5712588.

Almost surely, 25352256440 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 5352256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438493680).

5352256440 is an abundant number, since it is smaller than the sum of its proper divisors (13524730920).

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

5352256440 is a wasteful number, since it uses less digits than its factorization.

5352256440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5352256440 is about 73159.1172718753. The cubic root of 5352256440 is about 1749.2248474496.

Adding to 5352256440 its reverse (446522535), we get a palindrome (5798778975).

The spelling of 5352256440 in words is "five billion, three hundred fifty-two million, two hundred fifty-six thousand, four hundred forty".