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49327488 = 273372039
BaseRepresentation
bin1011110000101…
…0110110000000
310102211002121000
42330022312000
5100111434423
64521132000
71136163630
oct274126600
9112732530
1049327488
1125931521
121462a000
13a2b1282
1467a06c0
1544e5843
hex2f0ad80

49327488 has 128 divisors (see below), whose sum is σ = 166464000. Its totient is φ = 14086656.

The previous prime is 49327483. The next prime is 49327517. The reversal of 49327488 is 88472394.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49327483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23173 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (1300500).

Almost surely, 249327488 is an apocalyptic number.

49327488 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 49327488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83232000).

49327488 is an abundant number, since it is smaller than the sum of its proper divisors (117136512).

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

49327488 is a wasteful number, since it uses less digits than its factorization.

49327488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2051 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 49327488 is about 7023.3530453765. The cubic root of 49327488 is about 366.7439851640.

The spelling of 49327488 in words is "forty-nine million, three hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2039 2688 3024 3456 4032 4078 6048 6117 8064 8156 12096 12234 14273 16312 18351 24192 24468 28546 32624 36702 42819 48936 55053 57092 65248 73404 85638 97872 110106 114184 128457 130496 146808 171276 195744 220212 228368 256914 260992 293616 342552 385371 391488 440424 456736 513828 587232 685104 770742 782976 880848 913472 1027656 1174464 1370208 1541484 1761696 1826944 2055312 2348928 2740416 3082968 3523392 4110624 5480832 6165936 7046784 8221248 12331872 16442496 24663744 49327488