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49786272 = 2533291987
BaseRepresentation
bin1011110111101…
…0110110100000
310110200101221000
42331322312200
5100221130042
64535032000
71143114324
oct275726640
9113611830
1049786272
1126115188
121480b600
13a412043
14687d984
15458674c
hex2f7ada0

49786272 has 96 divisors (see below), whose sum is σ = 150292800. Its totient is φ = 16015104.

The previous prime is 49786271. The next prime is 49786273. The reversal of 49786272 is 27268794.

It is an interprime number because it is at equal distance from previous prime (49786271) and next prime (49786273).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (49786271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24063 + ... + 26049.

It is an arithmetic number, because the mean of its divisors is an integer number (1565550).

Almost surely, 249786272 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 49786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75146400).

49786272 is an abundant number, since it is smaller than the sum of its proper divisors (100506528).

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

49786272 is a wasteful number, since it uses less digits than its factorization.

49786272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2021 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 49786272 is about 7055.9387752446. The cubic root of 49786272 is about 367.8774796920.

The spelling of 49786272 in words is "forty-nine million, seven hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 1987 2088 2784 3132 3974 4176 5961 6264 7948 8352 11922 12528 15896 17883 23844 25056 31792 35766 47688 53649 57623 63584 71532 95376 107298 115246 143064 172869 190752 214596 230492 286128 345738 429192 460984 518607 572256 691476 858384 921968 1037214 1382952 1555821 1716768 1843936 2074428 2765904 3111642 4148856 5531808 6223284 8297712 12446568 16595424 24893136 49786272