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471072476 = 227223831259
BaseRepresentation
bin11100000100111…
…111111011011100
31012211101221221202
4130010333323130
51431043304401
6114424415032
714450023100
oct3404777334
91184357852
10471072476
112219a97a6
12111917478
1376797314
14467c5900
152b55206b
hex1c13fedc

471072476 has 72 divisors (see below), whose sum is σ = 1013523840. Its totient is φ = 190632288.

The previous prime is 471072473. The next prime is 471072487. The reversal of 471072476 is 674270174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471072473) 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, 373535 + ... + 374793.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2471072476 is an apocalyptic number.

471072476 is a gapful number since it is divisible by the number (46) 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 471072476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

471072476 is an abundant number, since it is smaller than the sum of its proper divisors (542451364).

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

471072476 is a wasteful number, since it uses less digits than its factorization.

471072476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 471072476 is about 21704.2041088818. The cubic root of 471072476 is about 778.0889420150.

The spelling of 471072476 in words is "four hundred seventy-one million, seventy-two thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 46 49 83 92 98 161 166 196 322 332 581 644 1127 1162 1259 1909 2254 2324 2518 3818 4067 4508 5036 7636 8134 8813 13363 16268 17626 26726 28957 35252 53452 57914 61691 93541 104497 115828 123382 187082 202699 208994 246764 374164 405398 417988 731479 810796 1418893 1462958 2403431 2837786 2925916 4806862 5120353 5675572 9613724 10240706 16824017 20481412 33648034 67296068 117768119 235536238 471072476