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406273872 = 24311374903
BaseRepresentation
bin11000001101110…
…011111101010000
31001022110211222110
4120031303331100
51313001230442
6104151505320
713032161634
oct3015637520
91038424873
10406273872
11199370634
12b4088240
136622a154
143bd58dc4
1525a0269c
hex18373f50

406273872 has 40 divisors (see below), whose sum is σ = 1058842944. Its totient is φ = 134224384.

The previous prime is 406273831. The next prime is 406273873. The reversal of 406273872 is 278372604.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 406273872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406273873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32028 + ... + 42875.

Almost surely, 2406273872 is an apocalyptic number.

It is an amenable number.

406273872 is an abundant number, since it is smaller than the sum of its proper divisors (652569072).

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

406273872 is a wasteful number, since it uses less digits than its factorization.

406273872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75027 (or 75021 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 406273872 is about 20156.2365534839. The cubic root of 406273872 is about 740.6385236292.

The spelling of 406273872 in words is "four hundred six million, two hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 74903 149806 224709 299612 449418 599224 898836 1198448 1797672 3595344 8464039 16928078 25392117 33856156 50784234 67712312 101568468 135424624 203136936 406273872