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104777288 = 2372112472
BaseRepresentation
bin1100011111011…
…00011001001000
321022011020102022
412033230121020
5203310333123
614221424012
72411410100
oct617543110
9238136368
10104777288
1154164800
122b10b008
13189270c5
14dcb6200
1592ea1c8
hex63ec648

104777288 has 108 divisors (see below), whose sum is σ = 256654755. Its totient is φ = 39953760.

The previous prime is 104777269. The next prime is 104777311. The reversal of 104777288 is 882777401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 52388644 + 52388644 = 7238^2 + 7238^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7238.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nialpdrome in base 14.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2229281 + ... + 2229327.

Almost surely, 2104777288 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 104777288

104777288 is an abundant number, since it is smaller than the sum of its proper divisors (151877467).

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

104777288 is a wasteful number, since it uses less digits than its factorization.

104777288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 44.

The square root of 104777288 is about 10236.0777644565. The cubic root of 104777288 is about 471.4356104769.

The spelling of 104777288 in words is "one hundred four million, seven hundred seventy-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 49 56 77 88 94 98 121 154 188 196 242 308 329 376 392 484 517 539 616 658 847 968 1034 1078 1316 1694 2068 2156 2209 2303 2632 3388 3619 4136 4312 4418 4606 5687 5929 6776 7238 8836 9212 11374 11858 14476 15463 17672 18424 22748 23716 24299 25333 28952 30926 39809 45496 47432 48598 50666 61852 79618 97196 101332 108241 123704 159236 170093 194392 202664 216482 267289 278663 318472 340186 432964 534578 557326 680372 865928 1069156 1114652 1190651 1360744 1871023 2138312 2229304 2381302 3742046 4762604 7484092 9525208 13097161 14968184 26194322 52388644 104777288