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4048704 = 26341171
BaseRepresentation
bin1111011100011101000000
321121200210000
433130131000
52014024304
6222440000
746261542
oct17343500
97550700
104048704
112315940
121433000
13ab9aaa
14775692
1554e939
hex3dc740

4048704 has 140 divisors (see below), whose sum is σ = 13277088. Its totient is φ = 1209600.

The previous prime is 4048697. The next prime is 4048711. The reversal of 4048704 is 4078404.

4048704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4048697) and next prime (4048711).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 56989 + ... + 57059.

Almost surely, 24048704 is an apocalyptic number.

4048704 is a gapful number since it is divisible by the number (44) 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 4048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638544).

4048704 is an abundant number, since it is smaller than the sum of its proper divisors (9228384).

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

4048704 is a wasteful number, since it uses less digits than its factorization.

4048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4048704 is about 2012.1391601974. The cubic root of 4048704 is about 159.3817810264.

The spelling of 4048704 in words is "four million, forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 71 72 81 88 96 99 108 132 142 144 162 176 192 198 213 216 264 284 288 297 324 352 396 426 432 528 568 576 594 639 648 704 781 792 852 864 891 1056 1136 1188 1278 1296 1562 1584 1704 1728 1782 1917 2112 2272 2343 2376 2556 2592 3124 3168 3408 3564 3834 4544 4686 4752 5112 5184 5751 6248 6336 6816 7029 7128 7668 9372 9504 10224 11502 12496 13632 14058 14256 15336 18744 19008 20448 21087 23004 24992 28116 28512 30672 37488 40896 42174 46008 49984 56232 57024 61344 63261 74976 84348 92016 112464 122688 126522 149952 168696 184032 224928 253044 337392 368064 449856 506088 674784 1012176 1349568 2024352 4048704