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475214040 = 23345723911
BaseRepresentation
bin11100010100110…
…011000011011000
31020010012101010000
4130110303003120
51433123322130
6115053253000
714530152450
oct3424630330
91203171100
10475214040
11224278384
12113194160
13775b7452
1447182d60
152babe260
hex1c5330d8

475214040 has 320 divisors, whose sum is σ = 1906882560. Its totient is φ = 103783680.

The previous prime is 475214023. The next prime is 475214041. The reversal of 475214040 is 40412574.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 475213995 and 475214013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475214041) by changing a digit.

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, 521185 + ... + 522095.

It is an arithmetic number, because the mean of its divisors is an integer number (5959008).

Almost surely, 2475214040 is an apocalyptic number.

475214040 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 475214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953441280).

475214040 is an abundant number, since it is smaller than the sum of its proper divisors (1431668520).

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

475214040 is a wasteful number, since it uses less digits than its factorization.

475214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 475214040 is about 21799.4045790246. The cubic root of 475214040 is about 780.3625533482.

The spelling of 475214040 in words is "four hundred seventy-five million, two hundred fourteen thousand, forty".