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412429744 = 24231975689
BaseRepresentation
bin11000100101010…
…010110110110000
31001202001121020201
4120211102312300
51321040222434
6104531444544
713135411036
oct3045226660
91052047221
10412429744
111a1895631
12b6156754
13675a408c
143cabc556
152631b614
hex18952db0

412429744 has 40 divisors (see below), whose sum is σ = 838205280. Its totient is φ = 196213248.

The previous prime is 412429733. The next prime is 412429757. The reversal of 412429744 is 447924214.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 69652 + ... + 75340.

It is an arithmetic number, because the mean of its divisors is an integer number (20955132).

Almost surely, 2412429744 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 412429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419102640).

412429744 is an abundant number, since it is smaller than the sum of its proper divisors (425775536).

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

412429744 is a wasteful number, since it uses less digits than its factorization.

412429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5911 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 412429744 is about 20308.3663547810. The cubic root of 412429744 is about 744.3605124520.

The spelling of 412429744 in words is "four hundred twelve million, four hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 197 368 394 788 1576 3152 4531 5689 9062 11378 18124 22756 36248 45512 72496 91024 130847 261694 523388 1046776 1120733 2093552 2241466 4482932 8965864 17931728 25776859 51553718 103107436 206214872 412429744