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406950104 = 231121073929
BaseRepresentation
bin11000010000011…
…001000011011000
31001100202012121002
4120100121003120
51313134400404
6104214204132
713041006311
oct3020310330
91040665532
10406950104
11199792700
12b4353648
1366405ba2
143c093608
1525ad7c1e
hex184190d8

406950104 has 48 divisors (see below), whose sum is σ = 846757800. Its totient is φ = 183201920.

The previous prime is 406950091. The next prime is 406950163. The reversal of 406950104 is 401059604.

It is a super-2 number, since 2×4069501042 = 331216774291221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101612 + ... + 105540.

Almost surely, 2406950104 is an apocalyptic number.

406950104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406950104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423378900).

406950104 is an abundant number, since it is smaller than the sum of its proper divisors (439807696).

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

406950104 is a wasteful number, since it uses less digits than its factorization.

406950104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 406950104 is about 20173.0043374803. The cubic root of 406950104 is about 741.0492201906.

The spelling of 406950104 in words is "four hundred six million, nine hundred fifty thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 107 121 214 242 428 484 856 968 1177 2354 3929 4708 7858 9416 12947 15716 25894 31432 43219 51788 86438 103576 172876 345752 420403 475409 840806 950818 1681612 1901636 3363224 3803272 4624433 9248866 18497732 36995464 50868763 101737526 203475052 406950104