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471879880 = 235172923929
BaseRepresentation
bin11100001000000…
…101000011001000
31012212220222111121
4130020011003020
51431300124010
6114454005024
714456625043
oct3410050310
91185828447
10471879880
1122240037a
12112046774
13769ba984
1446955c5a
152b6613da
hex1c2050c8

471879880 has 64 divisors (see below), whose sum is σ = 1162998000. Its totient is φ = 171515904.

The previous prime is 471879853. The next prime is 471879883. The reversal of 471879880 is 88978174.

It can be written as a sum of positive squares in 8 ways, for example, as 321915364 + 149964516 = 17942^2 + 12246^2 .

It is a super-2 number, since 2×4718798802 = 445341242297628800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (471879883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7756 + ... + 31684.

Almost surely, 2471879880 is an apocalyptic number.

471879880 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 471879880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581499000).

471879880 is an abundant number, since it is smaller than the sum of its proper divisors (691118120).

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

471879880 is a wasteful number, since it uses less digits than its factorization.

471879880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23986 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The square root of 471879880 is about 21722.7963209160. The cubic root of 471879880 is about 778.5332285978.

The spelling of 471879880 in words is "four hundred seventy-one million, eight hundred seventy-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 23929 47858 95716 119645 191432 239290 406793 478580 693941 813586 957160 1387882 1627172 2033965 2775764 3254344 3469705 4067930 5551528 6939410 8135860 11796997 13878820 16271720 23593994 27757640 47187988 58984985 94375976 117969970 235939940 471879880