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412991852 = 227134127673
BaseRepresentation
bin11000100111011…
…100000101101100
31001210010011022112
4120213130011230
51321211214402
6104551503152
713143241610
oct3047340554
91053104275
10412991852
111a2139989
12b6387ab8
136773cba0
143cbc7340
15263cce52
hex189dc16c

412991852 has 48 divisors (see below), whose sum is σ = 911249472. Its totient is φ = 159390720.

The previous prime is 412991849. The next prime is 412991857. The reversal of 412991852 is 258199214.

It is a super-3 number, since 3×4129918523 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (412991857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088 + ... + 28760.

It is an arithmetic number, because the mean of its divisors is an integer number (18984364).

Almost surely, 2412991852 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 412991852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455624736).

412991852 is an abundant number, since it is smaller than the sum of its proper divisors (498257620).

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

412991852 is a wasteful number, since it uses less digits than its factorization.

412991852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27738 (or 27736 counting only the distinct ones).

The product of its digits is 51840, while the sum is 41.

The square root of 412991852 is about 20322.2009634783. The cubic root of 412991852 is about 744.6985264306.

The spelling of 412991852 in words is "four hundred twelve million, nine hundred ninety-one thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14924 27673 55346 110692 193711 359749 387422 719498 774844 1134593 1438996 2269186 2518243 4538372 5036486 7942151 10072972 14749709 15884302 29499418 31768604 58998836 103247963 206495926 412991852