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49648080 = 2435375591
BaseRepresentation
bin1011110101100…
…1000111010000
310110102101100210
42331121013100
5100202214310
64532044120
71142000406
oct275310720
9113371323
1049648080
1126030379
1214763640
13a394181
146845476
15455a820
hex2f591d0

49648080 has 80 divisors (see below), whose sum is σ = 158097024. Its totient is φ = 12879360.

The previous prime is 49648069. The next prime is 49648091. The reversal of 49648080 is 8084694.

49648080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49648069) and next prime (49648091).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 6085 + ... + 11675.

Almost surely, 249648080 is an apocalyptic number.

49648080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79048512).

49648080 is an abundant number, since it is smaller than the sum of its proper divisors (108448944).

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

49648080 is a wasteful number, since it uses less digits than its factorization.

49648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 49648080 is about 7046.1393684769. The cubic root of 49648080 is about 367.5367911706.

The spelling of 49648080 in words is "forty-nine million, six hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 5591 8880 11182 16773 22364 27955 33546 44728 55910 67092 83865 89456 111820 134184 167730 206867 223640 268368 335460 413734 447280 620601 670920 827468 1034335 1241202 1341840 1654936 2068670 2482404 3103005 3309872 4137340 4964808 6206010 8274680 9929616 12412020 16549360 24824040 49648080