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49006720 = 275710939
BaseRepresentation
bin1011101011110…
…0100010000000
310102012210120201
42322330202000
5100021203340
64510214544
71133356510
oct272744200
9112183521
1049006720
1125732524
12144b4454
13a1cb279
146719840
15448079a
hex2ebc880

49006720 has 64 divisors (see below), whose sum is σ = 133905600. Its totient is φ = 16800768.

The previous prime is 49006709. The next prime is 49006739. The reversal of 49006720 is 2760094.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 990 + ... + 9949.

It is an arithmetic number, because the mean of its divisors is an integer number (2092275).

Almost surely, 249006720 is an apocalyptic number.

49006720 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 49006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66952800).

49006720 is an abundant number, since it is smaller than the sum of its proper divisors (84898880).

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

49006720 is a wasteful number, since it uses less digits than its factorization.

49006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 49006720 is about 7000.4799835440. The cubic root of 49006720 is about 365.9472984923.

The spelling of 49006720 in words is "forty-nine million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 10939 21878 43756 54695 76573 87512 109390 153146 175024 218780 306292 350048 382865 437560 612584 700096 765730 875120 1225168 1400192 1531460 1750240 2450336 3062920 3500480 4900672 6125840 7000960 9801344 12251680 24503360 49006720