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244628032 = 2611438081
BaseRepresentation
bin11101001010010…
…11101001000000
3122001022101120111
432211023221000
51000111044112
640135121104
76030206155
oct1645135100
9561271514
10244628032
111160a4730
1269b13194
133b8b151c
14246bc22c
15167225a7
hexe94ba40

244628032 has 56 divisors (see below), whose sum is σ = 541946592. Its totient is φ = 108595200.

The previous prime is 244628009. The next prime is 244628039. The reversal of 244628032 is 230826442.

It is a junction number, because it is equal to n+sod(n) for n = 244627985 and 244628003.

It is not an unprimeable number, because it can be changed into a prime (244628039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26232 + ... + 34312.

Almost surely, 2244628032 is an apocalyptic number.

244628032 is a gapful number since it is divisible by the number (22) 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 244628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270973296).

244628032 is an abundant number, since it is smaller than the sum of its proper divisors (297318560).

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

244628032 is a wasteful number, since it uses less digits than its factorization.

244628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 244628032 is about 15640.5892472119. The cubic root of 244628032 is about 625.4156441626.

Subtracting from 244628032 its product of nonzero digits (18432), we obtain a square (244609600 = 156402).

The spelling of 244628032 in words is "two hundred forty-four million, six hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7568 8081 15136 16162 30272 32324 64648 88891 129296 177782 258592 347483 355564 517184 694966 711128 1389932 1422256 2779864 2844512 3822313 5559728 5689024 7644626 11119456 15289252 22238912 30578504 61157008 122314016 244628032