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414137982 = 23487141731
BaseRepresentation
bin11000101011110…
…011111001111110
31001212021101111210
4120223303321332
51322004403412
6105032225250
713156054236
oct3053637176
91055241453
10414137982
111a2851aa5
12b683b226
1367a5177b
143d004cc6
152655783c
hex18af3e7e

414137982 has 16 divisors (see below), whose sum is σ = 829982592. Its totient is φ = 137761560.

The previous prime is 414137957. The next prime is 414137989. The reversal of 414137982 is 289731414.

It is a self number, because there is not a number n which added to its sum of digits gives 414137982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414137989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67944 + ... + 73787.

It is an arithmetic number, because the mean of its divisors is an integer number (51873912).

Almost surely, 2414137982 is an apocalyptic number.

414137982 is an abundant number, since it is smaller than the sum of its proper divisors (415844610).

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

414137982 is a wasteful number, since it uses less digits than its factorization.

414137982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142223.

The product of its digits is 48384, while the sum is 39.

The square root of 414137982 is about 20350.3803895652. The cubic root of 414137982 is about 745.3867829280.

The spelling of 414137982 in words is "four hundred fourteen million, one hundred thirty-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 487 974 1461 2922 141731 283462 425193 850386 69022997 138045994 207068991 414137982