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39977993 = 114188643
BaseRepresentation
bin1001100010000…
…0010000001001
32210020002111102
42120200100021
540213243433
63544511145
7663543626
oct230402011
983202442
1039977993
1120626070
121147b4b5
138389823
14544934d
15379a4e8
hex2620409

39977993 has 8 divisors (see below), whose sum is σ = 44676576. Its totient is φ = 35456800.

The previous prime is 39977981. The next prime is 39978017.

It is a happy number.

39977993 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 39977993 - 28 = 39977737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39977293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43871 + ... + 44772.

It is an arithmetic number, because the mean of its divisors is an integer number (5584572).

Almost surely, 239977993 is an apocalyptic number.

It is an amenable number.

39977993 is a deficient number, since it is larger than the sum of its proper divisors (4698583).

39977993 is a wasteful number, since it uses less digits than its factorization.

39977993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88695.

The product of its digits is 2893401, while the sum is 56.

The square root of 39977993 is about 6322.8152748598. The cubic root of 39977993 is about 341.9324587619.

It can be divided in two parts, 3997 and 7993, that multiplied together give a triangular number (31948021 = T7993).

The spelling of 39977993 in words is "thirty-nine million, nine hundred seventy-seven thousand, nine hundred ninety-three".

Divisors: 1 11 41 451 88643 975073 3634363 39977993