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407000037 = 3378294423
BaseRepresentation
bin11000010000100…
…101001111100101
31001100211202002110
4120100211033211
51313143000122
6104215231233
713041305013
oct3020451745
91040752073
10407000037
11199817174
12b4378519
1366422832
143c0a78b3
1525ae790c
hex184253e5

407000037 has 16 divisors (see below), whose sum is σ = 558131840. Its totient is φ = 263621952.

The previous prime is 406999993. The next prime is 407000047. The reversal of 407000037 is 730000704.

It is not a de Polignac number, because 407000037 - 27 = 406999909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 406999977 and 407000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89808 + ... + 94230.

It is an arithmetic number, because the mean of its divisors is an integer number (34883240).

Almost surely, 2407000037 is an apocalyptic number.

It is an amenable number.

407000037 is a deficient number, since it is larger than the sum of its proper divisors (151131803).

407000037 is a wasteful number, since it uses less digits than its factorization.

407000037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 407000037 is about 20174.2419188429. The cubic root of 407000037 is about 741.0795279990.

The spelling of 407000037 in words is "four hundred seven million, thirty-seven", and thus it is an aban number.

Divisors: 1 3 37 111 829 2487 4423 13269 30673 92019 163651 490953 3666667 11000001 135666679 407000037