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4048368 = 2431923193
BaseRepresentation
bin1111011100010111110000
321121200022120
433130113300
52014021433
6222434240
746260552
oct17342760
97550276
104048368
112315665
121432980
13ab98ac
147754d2
1554e7b3
hex3dc5f0

4048368 has 80 divisors (see below), whose sum is σ = 11546880. Its totient is φ = 1216512.

The previous prime is 4048339. The next prime is 4048393. The reversal of 4048368 is 8638404.

4048368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20880 + ... + 21072.

It is an arithmetic number, because the mean of its divisors is an integer number (144336).

Almost surely, 24048368 is an apocalyptic number.

4048368 is a gapful number since it is divisible by the number (48) 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 4048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773440).

4048368 is an abundant number, since it is smaller than the sum of its proper divisors (7498512).

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

4048368 is a wasteful number, since it uses less digits than its factorization.

4048368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4048368 is about 2012.0556652339. The cubic root of 4048368 is about 159.3773718986.

The spelling of 4048368 in words is "four million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 193 228 276 304 368 386 437 456 552 579 772 874 912 1104 1158 1311 1544 1748 2316 2622 3088 3496 3667 4439 4632 5244 6992 7334 8878 9264 10488 11001 13317 14668 17756 20976 22002 26634 29336 35512 44004 53268 58672 71024 84341 88008 106536 168682 176016 213072 253023 337364 506046 674728 1012092 1349456 2024184 4048368