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4251053040 = 2435132163643
BaseRepresentation
bin1111110101100001…
…1110101111110000
3101222021002212110220
43331120132233300
532201232144130
61541454453040
7210226232433
oct37530365760
911867085426
104251053040
111891677083
129a7804180
13529942500
142c482581a
1519d316410
hexfd61ebf0

4251053040 has 240 divisors, whose sum is σ = 14379829632. Its totient is φ = 1038375936.

The previous prime is 4251053021. The next prime is 4251053069. The reversal of 4251053040 is 403501524.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4251053040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6610959 + ... + 6611601.

Almost surely, 24251053040 is an apocalyptic number.

4251053040 is a gapful number since it is divisible by the number (40) 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 4251053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189914816).

4251053040 is an abundant number, since it is smaller than the sum of its proper divisors (10128776592).

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

4251053040 is a wasteful number, since it uses less digits than its factorization.

4251053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4251053040 is about 65200.0999999233. The cubic root of 4251053040 is about 1619.9396715836.

Adding to 4251053040 its reverse (403501524), we get a palindrome (4654554564).

The spelling of 4251053040 in words is "four billion, two hundred fifty-one million, fifty-three thousand, forty".