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423883632 = 24361712039
BaseRepresentation
bin11001010000111…
…111001101110000
31002112121112000210
4121100333031300
51332003234012
6110021144120
713334644224
oct3120771560
91075545023
10423883632
111a82a9057
12b9b5b040
1369a84623
1440420784
152733023c
hex1943f370

423883632 has 80 divisors (see below), whose sum is σ = 1129213440. Its totient is φ = 136953600.

The previous prime is 423883631. The next prime is 423883639. The reversal of 423883632 is 236388324.

It is a super-2 number, since 2×4238836322 = 359354666955022848, which contains 22 as substring.

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 (423883631) 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, 206869 + ... + 208907.

It is an arithmetic number, because the mean of its divisors is an integer number (14115168).

Almost surely, 2423883632 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 423883632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564606720).

423883632 is an abundant number, since it is smaller than the sum of its proper divisors (705329808).

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

423883632 is a wasteful number, since it uses less digits than its factorization.

423883632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 423883632 is about 20588.4344232387. The cubic root of 423883632 is about 751.1884163386.

The spelling of 423883632 in words is "four hundred twenty-three million, eight hundred eighty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 71 122 142 183 213 244 284 366 426 488 568 732 852 976 1136 1464 1704 2039 2928 3408 4078 4331 6117 8156 8662 12234 12993 16312 17324 24468 25986 32624 34648 48936 51972 69296 97872 103944 124379 144769 207888 248758 289538 373137 434307 497516 579076 746274 868614 995032 1158152 1492548 1737228 1990064 2316304 2985096 3474456 5970192 6948912 8830909 17661818 26492727 35323636 52985454 70647272 105970908 141294544 211941816 423883632