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4122888 = 2337112397
BaseRepresentation
bin1111101110100100001000
321202110112120
433232210020
52023413023
6224211240
750021040
oct17564410
97673476
104122888
112366650
121469b20
13b147a3
14794720
155668e3
hex3ee908

4122888 has 128 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1013760.

The previous prime is 4122863. The next prime is 4122893. The reversal of 4122888 is 8882214.

4122888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 42456 + ... + 42552.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 24122888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4122888 is an abundant number, since it is smaller than the sum of its proper divisors (9424632).

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

4122888 is a wasteful number, since it uses less digits than its factorization.

4122888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 4122888 is about 2030.4895961319. The cubic root of 4122888 is about 160.3493408675.

The spelling of 4122888 in words is "four million, one hundred twenty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 97 132 138 154 161 168 184 194 231 253 264 276 291 308 322 388 462 483 506 552 582 616 644 679 759 776 924 966 1012 1067 1164 1288 1358 1518 1771 1848 1932 2024 2037 2134 2231 2328 2716 3036 3201 3542 3864 4074 4268 4462 5313 5432 6072 6402 6693 7084 7469 8148 8536 8924 10626 12804 13386 14168 14938 15617 16296 17848 21252 22407 24541 25608 26772 29876 31234 42504 44814 46851 49082 53544 59752 62468 73623 89628 93702 98164 124936 147246 171787 179256 187404 196328 294492 343574 374808 515361 588984 687148 1030722 1374296 2061444 4122888