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49379088 = 24311412281
BaseRepresentation
bin1011110001011…
…1011100010000
310102220201101010
42330113130100
5100120112323
64522210520
71136500233
oct274273420
9112821333
1049379088
1125967270
1214653a40
13a2cb8c5
1467b541a
154505c93
hex2f17710

49379088 has 80 divisors (see below), whose sum is σ = 142615872. Its totient is φ = 14592000.

The previous prime is 49379087. The next prime is 49379089. The reversal of 49379088 is 88097394.

49379088 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 (49379087) and next prime (49379089).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49379087) by changing a digit.

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, 20508 + ... + 22788.

Almost surely, 249379088 is an apocalyptic number.

49379088 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 49379088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71307936).

49379088 is an abundant number, since it is smaller than the sum of its proper divisors (93236784).

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

49379088 is a wasteful number, since it uses less digits than its factorization.

49379088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 49379088 is about 7027.0255442826. The cubic root of 49379088 is about 366.8718205464.

The spelling of 49379088 in words is "forty-nine million, three hundred seventy-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2281 2706 3608 4562 5412 6843 7216 9124 10824 13686 18248 21648 25091 27372 36496 50182 54744 75273 93521 100364 109488 150546 187042 200728 280563 301092 374084 401456 561126 602184 748168 1028731 1122252 1204368 1496336 2057462 2244504 3086193 4114924 4489008 6172386 8229848 12344772 16459696 24689544 49379088