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474512640 = 28357127139
BaseRepresentation
bin11100010010000…
…111110100000000
31020001212201222020
4130102013310000
51432433401030
6115030241440
714521201530
oct3422076400
91201781866
10474512640
11223939408
12112ab6280
1377400114
144703d4c0
152b9d1510
hex1c487d00

474512640 has 288 divisors, whose sum is σ = 1758167040. Its totient is φ = 106831872.

The previous prime is 474512627. The next prime is 474512671. The reversal of 474512640 is 46215474.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413691 + ... + 3413829.

Almost surely, 2474512640 is an apocalyptic number.

474512640 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 474512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879083520).

474512640 is an abundant number, since it is smaller than the sum of its proper divisors (1283654400).

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

474512640 is a wasteful number, since it uses less digits than its factorization.

474512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 474512640 is about 21783.3110430898. The cubic root of 474512640 is about 779.9784346437.

The spelling of 474512640 in words is "four hundred seventy-four million, five hundred twelve thousand, six hundred forty".