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49649088 = 2632311243
BaseRepresentation
bin1011110101100…
…1010111000000
310110102102202010
42331121113000
5100202232323
64532052520
71142003346
oct275312700
9113372663
1049649088
1126031105
1214764140
13a394778
146845996
15455ac93
hex2f595c0

49649088 has 56 divisors (see below), whose sum is σ = 137086848. Its totient is φ = 15828736.

The previous prime is 49649069. The next prime is 49649101. The reversal of 49649088 is 88094694.

49649088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 1206 + ... + 10037.

Almost surely, 249649088 is an apocalyptic number.

49649088 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 49649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68543424).

49649088 is an abundant number, since it is smaller than the sum of its proper divisors (87437760).

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

49649088 is a wasteful number, since it uses less digits than its factorization.

49649088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 49649088 is about 7046.2108966451. The cubic root of 49649088 is about 367.5392785080.

The spelling of 49649088 in words is "forty-nine million, six hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 11243 22486 33729 44972 67458 89944 134916 179888 258589 269832 359776 517178 539664 719552 775767 1034356 1079328 1551534 2068712 2158656 3103068 4137424 6206136 8274848 12412272 16549696 24824544 49649088