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104268948 = 22371976301
BaseRepresentation
bin1100011011100…
…00010010010100
321021012102002220
412031300102110
5203143101243
614202502340
72404162050
oct615602224
9237172086
10104268948
1153947893
122ab049b0
13187a9904
14dbc2c60
159249783
hex6370494

104268948 has 48 divisors (see below), whose sum is σ = 279506304. Its totient is φ = 29635200.

The previous prime is 104268943. The next prime is 104268953. The reversal of 104268948 is 849862401.

It is an interprime number because it is at equal distance from previous prime (104268943) and next prime (104268953).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104268943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13398 + ... + 19698.

It is an arithmetic number, because the mean of its divisors is an integer number (5823048).

Almost surely, 2104268948 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 104268948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139753152).

104268948 is an abundant number, since it is smaller than the sum of its proper divisors (175237356).

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

104268948 is a wasteful number, since it uses less digits than its factorization.

104268948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 104268948 is about 10211.2167737249. The cubic root of 104268948 is about 470.6719647351.

The spelling of 104268948 in words is "one hundred four million, two hundred sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 788 1182 1379 2364 2758 4137 5516 6301 8274 12602 16548 18903 25204 37806 44107 75612 88214 132321 176428 264642 529284 1241297 2482594 3723891 4965188 7447782 8689079 14895564 17378158 26067237 34756316 52134474 104268948