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474941376 = 263271321741
BaseRepresentation
bin11100010011110…
…000011111000000
31020002200112002100
4130103300133000
51433041111001
6115043350400
714524635510
oct3423603700
91202615070
10474941376
11224101538
12113082400
1377520300
1447111840
152ba68586
hex1c4f07c0

474941376 has 504 divisors, whose sum is σ = 1827300384. Its totient is φ = 115015680.

The previous prime is 474941353. The next prime is 474941387. The reversal of 474941376 is 673149474.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 11583916 + ... + 11583956.

It is an arithmetic number, because the mean of its divisors is an integer number (3625596).

Almost surely, 2474941376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913650192).

474941376 is an abundant number, since it is smaller than the sum of its proper divisors (1352359008).

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

474941376 is a wasteful number, since it uses less digits than its factorization.

474941376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 474941376 is about 21793.1497494052. The cubic root of 474941376 is about 780.2132750123.

The spelling of 474941376 in words is "four hundred seventy-four million, nine hundred forty-one thousand, three hundred seventy-six".