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49999005 = 3357157337
BaseRepresentation
bin1011111010111…
…0110010011101
310111002012202000
42332232302131
5100244432010
64543352513
71144661460
oct276566235
9114065660
1049999005
112624aaa1
12148b2739
13a487b14
1468d72d7
1545c97c0
hex2faec9d

49999005 has 64 divisors (see below), whose sum is σ = 102535680. Its totient is φ = 22643712.

The previous prime is 49998983. The next prime is 49999031. The reversal of 49999005 is 50099994.

49999005 = T400 + T401 + ... + T713.

It is a happy number.

It is not a de Polignac number, because 49999005 - 28 = 49998749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148197 + ... + 148533.

It is an arithmetic number, because the mean of its divisors is an integer number (1602120).

Almost surely, 249999005 is an apocalyptic number.

49999005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49999005 is an abundant number, since it is smaller than the sum of its proper divisors (52536675).

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

49999005 is a wasteful number, since it uses less digits than its factorization.

49999005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 49999005 is about 7070.9974543907. The cubic root of 49999005 is about 368.4007061069.

The spelling of 49999005 in words is "forty-nine million, nine hundred ninety-nine thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 157 189 315 337 471 785 945 1011 1099 1413 1685 2355 2359 3033 3297 4239 5055 5495 7065 7077 9099 9891 11795 15165 16485 21195 21231 29673 35385 45495 49455 52909 63693 106155 148365 158727 264545 318465 370363 476181 793635 1111089 1428543 1851815 2380905 3333267 5555445 7142715 9999801 16666335 49999005