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479162420 = 225112389509
BaseRepresentation
bin11100100011110…
…111000000110100
31020101121222021022
4130203313000310
51440131144140
6115314040312
714605545662
oct3443670064
91211558238
10479162420
11226524900
12114579098
137836a679
14478cdc32
152c0ee0b5
hex1c8f7034

479162420 has 72 divisors (see below), whose sum is σ = 1111055400. Its totient is φ = 173451520.

The previous prime is 479162419. The next prime is 479162441. The reversal of 479162420 is 24261974.

It can be written as a sum of positive squares in 4 ways, for example, as 56942116 + 422220304 = 7546^2 + 20548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941126 + ... + 941634.

It is an arithmetic number, because the mean of its divisors is an integer number (15431325).

Almost surely, 2479162420 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 479162420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555527700).

479162420 is an abundant number, since it is smaller than the sum of its proper divisors (631892980).

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

479162420 is a wasteful number, since it uses less digits than its factorization.

479162420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 479162420 is about 21889.7788933557. The cubic root of 479162420 is about 782.5178443535.

The spelling of 479162420 in words is "four hundred seventy-nine million, one hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 389 484 509 605 778 1018 1210 1556 1945 2036 2420 2545 3890 4279 5090 5599 7780 8558 10180 11198 17116 21395 22396 27995 42790 47069 55990 61589 85580 94138 111980 123178 188276 198001 235345 246356 307945 396002 470690 615890 792004 941380 990005 1231780 1980010 2178011 3960020 4356022 8712044 10890055 21780110 23958121 43560220 47916242 95832484 119790605 239581210 479162420