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49857216 = 2631979173
BaseRepresentation
bin1011111000110…
…0001011000000
310110211000020120
42332030023000
5100230412331
64540340240
71143531213
oct276141300
9113730216
1049857216
1126163512
1214844680
13a438416
14689b77a
15459c796
hex2f8c2c0

49857216 has 112 divisors (see below), whose sum is σ = 141427200. Its totient is φ = 15455232.

The previous prime is 49857211. The next prime is 49857217. The reversal of 49857216 is 61275894.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49857211) 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 15 ways as a sum of consecutive naturals, for example, 288106 + ... + 288278.

Almost surely, 249857216 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 49857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713600).

49857216 is an abundant number, since it is smaller than the sum of its proper divisors (91569984).

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

49857216 is a wasteful number, since it uses less digits than its factorization.

49857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 49857216 is about 7060.9642401021. The cubic root of 49857216 is about 368.0521350207.

The spelling of 49857216 in words is "forty-nine million, eight hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 152 158 173 192 228 237 304 316 346 456 474 519 608 632 692 912 948 1038 1216 1264 1384 1501 1824 1896 2076 2528 2768 3002 3287 3648 3792 4152 4503 5056 5536 6004 6574 7584 8304 9006 9861 11072 12008 13148 13667 15168 16608 18012 19722 24016 26296 27334 33216 36024 39444 41001 48032 52592 54668 72048 78888 82002 96064 105184 109336 144096 157776 164004 210368 218672 259673 288192 315552 328008 437344 519346 631104 656016 779019 874688 1038692 1312032 1558038 2077384 2624064 3116076 4154768 6232152 8309536 12464304 16619072 24928608 49857216