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49434368 = 281737307
BaseRepresentation
bin1011110010010…
…0111100000000
310110000112012112
42330210330000
5100123344433
64523314452
71140120344
oct274447400
9113015175
1049434368
11259a4855
121467ba28
13a31ab09
1467cb624
154517348
hex2f24f00

49434368 has 72 divisors (see below), whose sum is σ = 107653392. Its totient is φ = 22560768.

The previous prime is 49434313. The next prime is 49434373. The reversal of 49434368 is 86343494.

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 7 ways as a sum of consecutive naturals, for example, 160871 + ... + 161177.

It is an arithmetic number, because the mean of its divisors is an integer number (1495186).

Almost surely, 249434368 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 49434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53826696).

49434368 is an abundant number, since it is smaller than the sum of its proper divisors (58219024).

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

49434368 is a wasteful number, since it uses less digits than its factorization.

49434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 49434368 is about 7030.9578294853. The cubic root of 49434368 is about 367.0086740990.

The spelling of 49434368 in words is "forty-nine million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 307 544 592 614 629 1088 1184 1228 1258 2176 2368 2456 2516 4352 4736 4912 5032 5219 9472 9824 10064 10438 11359 19648 20128 20876 22718 39296 40256 41752 45436 78592 80512 83504 90872 161024 167008 181744 193103 334016 363488 386206 668032 726976 772412 1336064 1453952 1544824 2907904 3089648 6179296 12358592 24717184 49434368