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474022080 = 26325723359
BaseRepresentation
bin11100010000010…
…000000011000000
31020000221211001100
4130100100003000
51432322201310
6115011534400
714514056400
oct3420200300
91200854040
10474022080
11223633894
121128ba400
137728aa4c
1446d52800
152b935ec0
hex1c4100c0

474022080 has 252 divisors, whose sum is σ = 1897197120. Its totient is φ = 108315648.

The previous prime is 474022079. The next prime is 474022117. The reversal of 474022080 is 80220474.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139441 + ... + 142799.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2474022080 is an apocalyptic number.

474022080 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 474022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

474022080 is an abundant number, since it is smaller than the sum of its proper divisors (1423175040).

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

474022080 is a wasteful number, since it uses less digits than its factorization.

474022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474022080 is about 21772.0481351663. The cubic root of 474022080 is about 779.7095565572.

The spelling of 474022080 in words is "four hundred seventy-four million, twenty-two thousand, eighty".