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40906224 = 2432714001
BaseRepresentation
bin1001110000001…
…0110111110000
32211222020210100
42130002313300
540432444344
64020432400
71004461062
oct234026760
984866710
1040906224
11210aa4a7
1211848700
138623188
14560b732
1538d0569
hex2702df0

40906224 has 60 divisors (see below), whose sum is σ = 116122032. Its totient is φ = 13440000.

The previous prime is 40906189. The next prime is 40906249. The reversal of 40906224 is 42260904.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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, 8224 + ... + 12224.

Almost surely, 240906224 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 40906224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58061016).

40906224 is an abundant number, since it is smaller than the sum of its proper divisors (75215808).

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

40906224 is a wasteful number, since it uses less digits than its factorization.

40906224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40906224 is about 6395.7973701486. The cubic root of 40906224 is about 344.5586290257.

The spelling of 40906224 in words is "forty million, nine hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 4001 5112 8002 10224 12003 16004 24006 32008 36009 48012 64016 72018 96024 144036 192048 284071 288072 568142 576144 852213 1136284 1704426 2272568 2556639 3408852 4545136 5113278 6817704 10226556 13635408 20453112 40906224