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201412608 = 212337443
BaseRepresentation
bin11000000000101…
…01000000000000
3112000222211011020
430000111000000
5403030200413
631552545440
74663656525
oct1400250000
9460884136
10201412608
11a3768301
1257552280
1332960277
141ca6d14c
1512a37c23
hexc015000

201412608 has 104 divisors (see below), whose sum is σ = 552794208. Its totient is φ = 65175552.

The previous prime is 201412577. The next prime is 201412613. The reversal of 201412608 is 806214102.

201412608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2014126082 = 81134077322723328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454435 + ... + 454877.

Almost surely, 2201412608 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 201412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276397104).

201412608 is an abundant number, since it is smaller than the sum of its proper divisors (351381600).

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

201412608 is an equidigital number, since it uses as much as digits as its factorization.

201412608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 201412608 is about 14191.9909808314. The cubic root of 201412608 is about 586.1771490497.

The spelling of 201412608 in words is "two hundred one million, four hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 443 444 512 592 768 886 888 1024 1184 1329 1536 1772 1776 2048 2368 2658 3072 3544 3552 4096 4736 5316 6144 7088 7104 9472 10632 12288 14176 14208 16391 18944 21264 28352 28416 32782 37888 42528 49173 56704 56832 65564 75776 85056 98346 113408 113664 131128 151552 170112 196692 226816 227328 262256 340224 393384 453632 454656 524512 680448 786768 907264 1049024 1360896 1573536 1814528 2098048 2721792 3147072 4196096 5443584 6294144 8392192 12588288 16784384 25176576 33568768 50353152 67137536 100706304 201412608