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3256498080 = 253451153431
BaseRepresentation
bin1100001000011010…
…0011011110100000
322101221200020120000
43002012203132200
523132130414310
61255050020000
7143461530333
oct30206433640
98357606500
103256498080
111421232230
1276a717600
133cb890854
1422c6d461a
15140d5d4c0
hexc21a37a0

3256498080 has 480 divisors, whose sum is σ = 12803712768. Its totient is φ = 772761600.

The previous prime is 3256498067. The next prime is 3256498123. The reversal of 3256498080 is 808946523.

3256498080 is a `hidden beast` number, since 3 + 2 + 564 + 9 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×32564980803 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7555465 + ... + 7555895.

Almost surely, 23256498080 is an apocalyptic number.

3256498080 is a gapful number since it is divisible by the number (30) 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 3256498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401856384).

3256498080 is an abundant number, since it is smaller than the sum of its proper divisors (9547214688).

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

3256498080 is a wasteful number, since it uses less digits than its factorization.

3256498080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3256498080 is about 57065.7347275929. The cubic root of 3256498080 is about 1482.2345839875.

The spelling of 3256498080 in words is "three billion, two hundred fifty-six million, four hundred ninety-eight thousand, eighty".