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5401253088 = 25327111511613
BaseRepresentation
bin1010000011111000…
…01001010011100000
3111221102102002022200
411001330021103200
542030210044323
62251543333200
7250563615360
oct50174112340
914842362280
105401253088
112321959430
121068a51200
1368101b65a
143934b09a0
152192b6443
hex141f094e0

5401253088 has 288 divisors, whose sum is σ = 19288668672. Its totient is φ = 1392768000.

The previous prime is 5401253087. The next prime is 5401253089. The reversal of 5401253088 is 8803521045.

It is a happy number.

5401253088 is a `hidden beast` number, since 5 + 40 + 1 + 2 + 530 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (5401253087) and next prime (5401253089).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401253087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3347770 + ... + 3349382.

It is an arithmetic number, because the mean of its divisors is an integer number (66974544).

Almost surely, 25401253088 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 5401253088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644334336).

5401253088 is an abundant number, since it is smaller than the sum of its proper divisors (13887415584).

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

5401253088 is a wasteful number, since it uses less digits than its factorization.

5401253088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5401253088 is about 73493.2179728171. The cubic root of 5401253088 is about 1754.5463380447.

The spelling of 5401253088 in words is "five billion, four hundred one million, two hundred fifty-three thousand, eighty-eight".