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49906368 = 26353209
BaseRepresentation
bin1011111001100…
…0001011000000
310110220111200000
42332120023000
5100234000433
64541400000
71144124421
oct276301300
9113814600
1049906368
1126197436
1214869000
13a4548c5
1468b1648
1545ac113
hex2f982c0

49906368 has 84 divisors (see below), whose sum is σ = 148391880. Its totient is φ = 16630272.

The previous prime is 49906333. The next prime is 49906387. The reversal of 49906368 is 86360994.

49906368 is a `hidden beast` number, since 4 + 9 + 9 + 0 + 636 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 13948 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (1766570).

Almost surely, 249906368 is an apocalyptic number.

49906368 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 49906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74195940).

49906368 is an abundant number, since it is smaller than the sum of its proper divisors (98485512).

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

49906368 is an equidigital number, since it uses as much as digits as its factorization.

49906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 49906368 is about 7064.4439271609. The cubic root of 49906368 is about 368.1730440109.

The spelling of 49906368 in words is "forty-nine million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3209 3888 5184 6418 7776 9627 12836 15552 19254 25672 28881 38508 51344 57762 77016 86643 102688 115524 154032 173286 205376 231048 259929 308064 346572 462096 519858 616128 693144 779787 924192 1039716 1386288 1559574 1848384 2079432 2772576 3119148 4158864 5545152 6238296 8317728 12476592 16635456 24953184 49906368