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108442264 = 23737199263
BaseRepresentation
bin1100111011010…
…11001010011000
321120001102211011
412131223022120
5210230123024
614432143304
72454513130
oct635531230
9246042734
10108442264
1156238307
1230397b34
131960b328
141058bac0
1597c1094
hex676b298

108442264 has 64 divisors (see below), whose sum is σ = 240768000. Its totient is φ = 44820864.

The previous prime is 108442249. The next prime is 108442267. The reversal of 108442264 is 462244801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108442267) 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, 412197 + ... + 412459.

It is an arithmetic number, because the mean of its divisors is an integer number (3762000).

Almost surely, 2108442264 is an apocalyptic number.

108442264 is a gapful number since it is divisible by the number (14) 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 108442264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120384000).

108442264 is an abundant number, since it is smaller than the sum of its proper divisors (132325736).

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

108442264 is a wasteful number, since it uses less digits than its factorization.

108442264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 108442264 is about 10413.5615425271. The cubic root of 108442264 is about 476.8694768920.

The spelling of 108442264 in words is "one hundred eight million, four hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 199 259 263 296 398 518 526 796 1036 1052 1393 1592 1841 2072 2104 2786 3682 5572 7363 7364 9731 11144 14726 14728 19462 29452 38924 51541 52337 58904 68117 77848 103082 104674 136234 206164 209348 272468 366359 412328 418696 544936 732718 1465436 1936469 2930872 3872938 7745876 13555283 15491752 27110566 54221132 108442264