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49045248 = 283273041
BaseRepresentation
bin1011101100010…
…1111100000000
310102021202102200
42323011330000
5100023421443
64511113200
71133610030
oct273057400
9112252380
1049045248
112575946a
1214512800
13a212975
1467298c0
15448bdd3
hex2ec5f00

49045248 has 108 divisors (see below), whose sum is σ = 161664048. Its totient is φ = 14008320.

The previous prime is 49045247. The next prime is 49045279. The reversal of 49045248 is 84254094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49045247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14608 + ... + 17648.

Almost surely, 249045248 is an apocalyptic number.

49045248 is a gapful number since it is divisible by the number (48) 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 49045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832024).

49045248 is an abundant number, since it is smaller than the sum of its proper divisors (112618800).

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

49045248 is a wasteful number, since it uses less digits than its factorization.

49045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 49045248 is about 7003.2312542140. The cubic root of 49045248 is about 366.0431732642.

The spelling of 49045248 in words is "forty-nine million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 3041 4032 5376 6082 8064 9123 12164 16128 18246 21287 24328 27369 36492 42574 48656 54738 63861 72984 85148 97312 109476 127722 145968 170296 191583 194624 218952 255444 291936 340592 383166 389248 437904 510888 583872 681184 766332 778496 875808 1021776 1167744 1362368 1532664 1751616 2043552 2335488 2724736 3065328 3503232 4087104 5449472 6130656 7006464 8174208 12261312 16348416 24522624 49045248