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49341312 = 27344759
BaseRepresentation
bin1011110000111…
…0001110000000
310102211210120000
42330032032000
5100112410222
64521320000
71136252136
oct274161600
9112753500
1049341312
1125940949
1214636000
13a2b7657
1467a5756
1544e99ac
hex2f0e380

49341312 has 80 divisors (see below), whose sum is σ = 146869800. Its totient is φ = 16443648.

The previous prime is 49341289. The next prime is 49341323. The reversal of 49341312 is 21314394.

49341312 is a `hidden beast` number, since 4 + 9 + 341 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 9 ways as a sum of consecutive naturals, for example, 7989 + ... + 12747.

Almost surely, 249341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73434900).

49341312 is an abundant number, since it is smaller than the sum of its proper divisors (97528488).

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

49341312 is an equidigital number, since it uses as much as digits as its factorization.

49341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4764 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 49341312 is about 7024.3371217504. The cubic root of 49341312 is about 366.7782418941.

The spelling of 49341312 in words is "forty-nine million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 4759 5184 9518 10368 14277 19036 28554 38072 42831 57108 76144 85662 114216 128493 152288 171324 228432 256986 304576 342648 385479 456864 513972 609152 685296 770958 913728 1027944 1370592 1541916 1827456 2055888 2741184 3083832 4111776 5482368 6167664 8223552 12335328 16447104 24670656 49341312