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49312080 = 2432568489
BaseRepresentation
bin1011110000011…
…1000101010000
310102210022110100
42330013011100
5100110441310
64520532400
71136100666
oct274070520
9112708410
1049312080
1125920994
1214621100
13a2a725c
146798c36
1544e0ec0
hex2f07150

49312080 has 60 divisors (see below), whose sum is σ = 165608820. Its totient is φ = 13149696.

The previous prime is 49312063. The next prime is 49312091. The reversal of 49312080 is 8021394.

It can be written as a sum of positive squares in 2 ways, for example, as 22810176 + 26501904 = 4776^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33525 + ... + 34964.

It is an arithmetic number, because the mean of its divisors is an integer number (2760147).

Almost surely, 249312080 is an apocalyptic number.

49312080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49312080 is an abundant number, since it is smaller than the sum of its proper divisors (116296740).

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

49312080 is a wasteful number, since it uses less digits than its factorization.

49312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68508 (or 68499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49312080 is about 7022.2560477385. The cubic root of 49312080 is about 366.7057956405.

The spelling of 49312080 in words is "forty-nine million, three hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 68489 136978 205467 273956 342445 410934 547912 616401 684890 821868 1027335 1095824 1232802 1369780 1643736 2054670 2465604 2739560 3082005 3287472 4109340 4931208 5479120 6164010 8218680 9862416 12328020 16437360 24656040 49312080