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383672896 = 26107179313
BaseRepresentation
bin10110110111100…
…110001001000000
3222201221121021021
4112313212021000
51241210013041
6102023235224
712336110605
oct2667461100
9881847237
10383672896
11187634142
12a85a8b14
1361645ba9
1438d546ac
1523a3acd1
hex16de6240

383672896 has 56 divisors (see below), whose sum is σ = 775228320. Its totient is φ = 188378112.

The previous prime is 383672843. The next prime is 383672897. The reversal of 383672896 is 698276383.

It is a super-2 number, since 2×3836728962 = 294409782250053632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (383672897) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1225636 + ... + 1225948.

Almost surely, 2383672896 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 383672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387614160).

383672896 is an abundant number, since it is smaller than the sum of its proper divisors (391555424).

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

383672896 is a wasteful number, since it uses less digits than its factorization.

383672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 383672896 is about 19587.5699360589. The cubic root of 383672896 is about 726.6417939845.

The spelling of 383672896 in words is "three hundred eighty-three million, six hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 179 214 313 358 428 626 716 856 1252 1432 1712 2504 2864 3424 5008 5728 6848 10016 11456 19153 20032 33491 38306 56027 66982 76612 112054 133964 153224 224108 267928 306448 448216 535856 612896 896432 1071712 1225792 1792864 2143424 3585728 5994889 11989778 23979556 47959112 95918224 191836448 383672896