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49908352 = 271389337
BaseRepresentation
bin1011111001100…
…0101010000000
310110220121101111
42332120222000
5100234031402
64541413104
71144133254
oct276305200
9113817344
1049908352
112619897a
121486a194
13a455790
1468b2264
1545ac9d7
hex2f98a80

49908352 has 64 divisors (see below), whose sum is σ = 108599400. Its totient is φ = 22708224.

The previous prime is 49908349. The next prime is 49908359. The reversal of 49908352 is 25380994.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 29333056 = 4536^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (49908359) 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 7 ways as a sum of consecutive naturals, for example, 147928 + ... + 148264.

Almost surely, 249908352 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 49908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54299700).

49908352 is an abundant number, since it is smaller than the sum of its proper divisors (58691048).

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

49908352 is a wasteful number, since it uses less digits than its factorization.

49908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 49908352 is about 7064.5843472918. The cubic root of 49908352 is about 368.1779227847.

The spelling of 49908352 in words is "forty-nine million, nine hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 337 356 416 674 712 832 1157 1348 1424 1664 2314 2696 2848 4381 4628 5392 5696 8762 9256 10784 11392 17524 18512 21568 29993 35048 37024 43136 59986 70096 74048 119972 140192 148096 239944 280384 389909 479888 560768 779818 959776 1559636 1919552 3119272 3839104 6238544 12477088 24954176 49908352