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104655648 = 25319181317
BaseRepresentation
bin1100011110011…
…10101100100000
321021221001120010
412033032230200
5203242440043
614215044520
72410362336
oct617165440
9237831503
10104655648
1154091379
122b070740
13188b3926
14dc83b56
1592c4133
hex63ceb20

104655648 has 96 divisors (see below), whose sum is σ = 291695040. Its totient is φ = 32762880.

The previous prime is 104655641. The next prime is 104655653. The reversal of 104655648 is 846556401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (104655641) 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 15 ways as a sum of consecutive naturals, for example, 329986 + ... + 330302.

It is an arithmetic number, because the mean of its divisors is an integer number (3038490).

Almost surely, 2104655648 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 104655648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145847520).

104655648 is an abundant number, since it is smaller than the sum of its proper divisors (187039392).

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

104655648 is a wasteful number, since it uses less digits than its factorization.

104655648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 104655648 is about 10230.1343099688. The cubic root of 104655648 is about 471.2531038969.

The spelling of 104655648 in words is "one hundred four million, six hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 181 228 304 317 362 456 543 608 634 724 912 951 1086 1268 1448 1824 1902 2172 2536 2896 3439 3804 4344 5072 5792 6023 6878 7608 8688 10144 10317 12046 13756 15216 17376 18069 20634 24092 27512 30432 36138 41268 48184 55024 57377 72276 82536 96368 110048 114754 144552 165072 172131 192736 229508 289104 330144 344262 459016 578208 688524 918032 1090163 1377048 1836064 2180326 2754096 3270489 4360652 5508192 6540978 8721304 13081956 17442608 26163912 34885216 52327824 104655648