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49214080 = 275131587
BaseRepresentation
bin1011101110111…
…1001010000000
310102121100000201
42323233022000
5100044322310
64514454544
71135212166
oct273571200
9112540021
1049214080
11258642a3
1214594454
13a271776
146771236
1544c1e3a
hex2eef280

49214080 has 64 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 19502080.

The previous prime is 49214069. The next prime is 49214111. The reversal of 49214080 is 8041294.

49214080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83547 + ... + 84133.

Almost surely, 249214080 is an apocalyptic number.

49214080 is a gapful number since it is divisible by the number (40) 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 49214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376240).

49214080 is an abundant number, since it is smaller than the sum of its proper divisors (69538400).

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

49214080 is a wasteful number, since it uses less digits than its factorization.

49214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 49214080 is about 7015.2747629726. The cubic root of 49214080 is about 366.4627111821.

The spelling of 49214080 in words is "forty-nine million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 587 640 655 1048 1174 1310 2096 2348 2620 2935 4192 4696 5240 5870 8384 9392 10480 11740 16768 18784 20960 23480 37568 41920 46960 75136 76897 83840 93920 153794 187840 307588 375680 384485 615176 768970 1230352 1537940 2460704 3075880 4921408 6151760 9842816 12303520 24607040 49214080