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423826368 = 2637973251
BaseRepresentation
bin11001010000110…
…001001111000000
31002112111121110220
4121100301033000
51331444420433
6110020023040
713334315250
oct3120611700
91075447426
10423826368
111a826a029
12b9b31a80
1369a64544
1440407960
152731d2b3
hex194313c0

423826368 has 112 divisors (see below), whose sum is σ = 1295180544. Its totient is φ = 119808000.

The previous prime is 423826363. The next prime is 423826397. The reversal of 423826368 is 863628324.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423826363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128743 + ... + 131993.

It is an arithmetic number, because the mean of its divisors is an integer number (11564112).

Almost surely, 2423826368 is an apocalyptic number.

423826368 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 423826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647590272).

423826368 is an abundant number, since it is smaller than the sum of its proper divisors (871354176).

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

423826368 is a wasteful number, since it uses less digits than its factorization.

423826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3360 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 423826368 is about 20587.0436925752. The cubic root of 423826368 is about 751.1545878792.

The spelling of 423826368 in words is "four hundred twenty-three million, eight hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 448 582 672 679 776 1164 1344 1358 1552 2037 2328 2716 3104 3251 4074 4656 5432 6208 6502 8148 9312 9753 10864 13004 16296 18624 19506 21728 22757 26008 32592 39012 43456 45514 52016 65184 68271 78024 91028 104032 130368 136542 156048 182056 208064 273084 312096 315347 364112 546168 624192 630694 728224 946041 1092336 1261388 1456448 1892082 2184672 2207429 2522776 3784164 4369344 4414858 5045552 6622287 7568328 8829716 10091104 13244574 15136656 17659432 20182208 26489148 30273312 35318864 52978296 60546624 70637728 105956592 141275456 211913184 423826368