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3722550480 = 2433511214243
BaseRepresentation
bin1101110111100001…
…1001110011010000
3100121102122011021000
43131320121303100
530110433103410
61413215102000
7161151104565
oct33570316320
910542564230
103722550480
111640312300
1287a811900
134742babbc
1427457086c
1516bc1cdc0
hexdde19cd0

3722550480 has 240 divisors, whose sum is σ = 14094722880. Its totient is φ = 902373120.

The previous prime is 3722550457. The next prime is 3722550493. The reversal of 3722550480 is 840552273.

3722550480 is a `hidden beast` number, since 3 + 7 + 22 + 550 + 4 + 80 = 666.

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

It is a super-2 number, since 2×37225504802 = 27714764152296460800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254239 + ... + 268481.

It is an arithmetic number, because the mean of its divisors is an integer number (58728012).

Almost surely, 23722550480 is an apocalyptic number.

3722550480 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 3722550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047361440).

3722550480 is an abundant number, since it is smaller than the sum of its proper divisors (10372172400).

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

3722550480 is a wasteful number, since it uses less digits than its factorization.

3722550480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14264 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3722550480 is about 61012.7075288419. The cubic root of 3722550480 is about 1549.8162085234.

The spelling of 3722550480 in words is "three billion, seven hundred twenty-two million, five hundred fifty thousand, four hundred eighty".