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477729342 = 2321710914323
BaseRepresentation
bin11100011110011…
…001001000111110
31020021221011110100
4130132121020332
51434244314332
6115223221530
714560426626
oct3436311076
91207834410
10477729342
11225736142
12113ba78a6
1377c882ac
1447639886
152be1967c
hex1c79923e

477729342 has 48 divisors (see below), whose sum is σ = 1106099280. Its totient is φ = 148490496.

The previous prime is 477729323. The next prime is 477729349. The reversal of 477729342 is 243927774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477729349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26193 + ... + 40515.

It is an arithmetic number, because the mean of its divisors is an integer number (23043735).

Almost surely, 2477729342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477729342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553049640).

477729342 is an abundant number, since it is smaller than the sum of its proper divisors (628369938).

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

477729342 is a wasteful number, since it uses less digits than its factorization.

477729342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14457 (or 14454 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 477729342 is about 21857.0204282285. The cubic root of 477729342 is about 781.7369477367.

The spelling of 477729342 in words is "four hundred seventy-seven million, seven hundred twenty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 5559 11118 14323 16677 28646 33354 42969 85938 128907 243491 257814 486982 730473 1460946 1561207 2191419 3122414 4382838 4683621 9367242 14050863 26540519 28101726 53081038 79621557 159243114 238864671 477729342