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109424448 = 2632723877
BaseRepresentation
bin1101000010110…
…10111101000000
321121220100010100
412201122331000
5211003040243
614505202400
72466043500
oct641327500
9247810110
10109424448
1156849231
1230790400
13198933c3
1410765a00
1599170d3
hex685af40

109424448 has 126 divisors (see below), whose sum is σ = 364946946. Its totient is φ = 31256064.

The previous prime is 109424437. The next prime is 109424459. The reversal of 109424448 is 844424901.

It is an interprime number because it is at equal distance from previous prime (109424437) and next prime (109424459).

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 27123264 = 9072^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26286 + ... + 30162.

Almost surely, 2109424448 is an apocalyptic number.

109424448 is a gapful number since it is divisible by the number (18) 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 109424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182473473).

109424448 is an abundant number, since it is smaller than the sum of its proper divisors (255522498).

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

109424448 is a wasteful number, since it uses less digits than its factorization.

109424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 109424448 is about 10460.6141311110. The cubic root of 109424448 is about 478.3048538798.

The spelling of 109424448 in words is "one hundred nine million, four hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 3877 4032 4704 7056 7754 9408 11631 14112 15508 23262 27139 28224 31016 34893 46524 54278 62032 69786 81417 93048 108556 124064 139572 162834 186096 189973 217112 244251 248128 279144 325668 372192 379946 434224 488502 558288 569919 651336 744384 759892 868448 977004 1116576 1139838 1302672 1519784 1709757 1736896 1954008 2233152 2279676 2605344 3039568 3419514 3908016 4559352 5210688 6079136 6839028 7816032 9118704 12158272 13678056 15632064 18237408 27356112 36474816 54712224 109424448