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4049472 = 263723131
BaseRepresentation
bin1111011100101001000000
321121201211110
433130221000
52014040342
6222443320
746264020
oct17345100
97551743
104049472
112316479
121433540
13aba24b
14775a80
1554ec9c
hex3dca40

4049472 has 112 divisors (see below), whose sum is σ = 12874752. Its totient is φ = 1098240.

The previous prime is 4049471. The next prime is 4049483. The reversal of 4049472 is 2749404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049471) 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, 30847 + ... + 30977.

Almost surely, 24049472 is an apocalyptic number.

4049472 is a gapful number since it is divisible by the number (42) 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 4049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437376).

4049472 is an abundant number, since it is smaller than the sum of its proper divisors (8825280).

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

4049472 is a wasteful number, since it uses less digits than its factorization.

4049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4049472 is about 2012.3299928193. The cubic root of 4049472 is about 159.3918581168.

The spelling of 4049472 in words is "four million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 131 138 161 168 184 192 224 262 276 322 336 368 393 448 483 524 552 644 672 736 786 917 966 1048 1104 1288 1344 1472 1572 1834 1932 2096 2208 2576 2751 3013 3144 3668 3864 4192 4416 5152 5502 6026 6288 7336 7728 8384 9039 10304 11004 12052 12576 14672 15456 18078 21091 22008 24104 25152 29344 30912 36156 42182 44016 48208 58688 63273 72312 84364 88032 96416 126546 144624 168728 176064 192832 253092 289248 337456 506184 578496 674912 1012368 1349824 2024736 4049472