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412379982 = 23273173929
BaseRepresentation
bin11000100101000…
…110101101001110
31001201222001222200
4120211012231032
51321032124412
6104530422330
713135113000
oct3045065516
91051861880
10412379982
111a1861203
12b61319a6
1367587531
143caa8370
152630b9dc
hex18946b4e

412379982 has 96 divisors (see below), whose sum is σ = 1103544000. Its totient is φ = 110863872.

The previous prime is 412379977. The next prime is 412379983. The reversal of 412379982 is 289973214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412379983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102994 + ... + 106922.

It is an arithmetic number, because the mean of its divisors is an integer number (11495250).

Almost surely, 2412379982 is an apocalyptic number.

412379982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 412379982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551772000).

412379982 is an abundant number, since it is smaller than the sum of its proper divisors (691164018).

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

412379982 is a wasteful number, since it uses less digits than its factorization.

412379982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3958 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 412379982 is about 20307.1411577307. The cubic root of 412379982 is about 744.3305741346.

The spelling of 412379982 in words is "four hundred twelve million, three hundred seventy-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 343 357 441 686 714 833 882 1029 1071 1666 2058 2142 2499 3087 3929 4998 5831 6174 7497 7858 11662 11787 14994 17493 23574 27503 34986 35361 52479 55006 66793 70722 82509 104958 133586 165018 192521 200379 247527 385042 400758 467551 495054 577563 601137 935102 1155126 1202274 1347647 1402653 1732689 2695294 2805306 3272857 3465378 4042941 4207959 6545714 8085882 8415918 9818571 12128823 19637142 22909999 24257646 29455713 45819998 58911426 68729997 137459994 206189991 412379982