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472679160 = 233541191503
BaseRepresentation
bin11100001011001…
…000001011111000
31012221102120220120
4130023020023320
51432001213120
6114523053240
714466464232
oct3413101370
91187376816
10472679160
112228a6938
12112371220
1376c0a715
1446ac3252
152b76d140
hex1c2c82f8

472679160 has 128 divisors (see below), whose sum is σ = 1463132160. Its totient is φ = 122086400.

The previous prime is 472679099. The next prime is 472679173. The reversal of 472679160 is 61976274.

472679160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 939469 + ... + 939971.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2472679160 is an apocalyptic number.

472679160 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 472679160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

472679160 is an abundant number, since it is smaller than the sum of its proper divisors (990453000).

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

472679160 is a wasteful number, since it uses less digits than its factorization.

472679160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 472679160 is about 21741.1858002272. The cubic root of 472679160 is about 778.9725459324.

The spelling of 472679160 in words is "four hundred seventy-two million, six hundred seventy-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 191 205 246 328 382 410 492 503 573 615 764 820 955 984 1006 1146 1230 1509 1528 1640 1910 2012 2292 2460 2515 2865 3018 3820 4024 4584 4920 5030 5730 6036 7545 7640 7831 10060 11460 12072 15090 15662 20120 20623 22920 23493 30180 31324 39155 41246 46986 60360 61869 62648 78310 82492 93972 96073 103115 117465 123738 156620 164984 187944 192146 206230 234930 247476 288219 309345 313240 384292 412460 469860 480365 494952 576438 618690 768584 824920 939720 960730 1152876 1237380 1441095 1921460 2305752 2474760 2882190 3842920 3938993 5764380 7877986 11528760 11816979 15755972 19694965 23633958 31511944 39389930 47267916 59084895 78779860 94535832 118169790 157559720 236339580 472679160