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104298752 = 281941523
BaseRepresentation
bin1100011011101…
…11100100000000
321021020220222202
412031313210000
5203200030002
614203252332
72404344665
oct615674400
9237226882
10104298752
1153968218
122ab1a0a8
13187ba34c
14dbcda6c
159253502
hex6377900

104298752 has 72 divisors (see below), whose sum is σ = 224921760. Its totient is φ = 48107520.

The previous prime is 104298751. The next prime is 104298773. The reversal of 104298752 is 257892401.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (104298751) 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, 199163 + ... + 199685.

Almost surely, 2104298752 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 104298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112460880).

104298752 is an abundant number, since it is smaller than the sum of its proper divisors (120623008).

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

104298752 is an equidigital number, since it uses as much as digits as its factorization.

104298752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 104298752 is about 10212.6760449943. The cubic root of 104298752 is about 470.7168057325.

The spelling of 104298752 in words is "one hundred four million, two hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 523 608 656 779 1046 1216 1312 1558 2092 2432 2624 3116 4184 4864 5248 6232 8368 9937 10496 12464 16736 19874 21443 24928 33472 39748 42886 49856 66944 79496 85772 99712 133888 158992 171544 199424 317984 343088 407417 635968 686176 814834 1271936 1372352 1629668 2543872 2744704 3259336 5489408 6518672 13037344 26074688 52149376 104298752