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104224896 = 273290473
BaseRepresentation
bin1100011011001…
…01100010000000
321021010011200100
412031211202000
5203140144041
614201522400
72403616446
oct615454200
9237104610
10104224896
1153917786
122aaa3400
1318792849
14dbb0b96
15923b6b6
hex6365880

104224896 has 48 divisors (see below), whose sum is σ = 299921310. Its totient is φ = 34741248.

The previous prime is 104224889. The next prime is 104224907. The reversal of 104224896 is 698422401.

It can be written as a sum of positive squares in only one way, i.e., 75064896 + 29160000 = 8664^2 + 5400^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104224896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44085 + ... + 46388.

Almost surely, 2104224896 is an apocalyptic number.

104224896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104224896 is an abundant number, since it is smaller than the sum of its proper divisors (195696414).

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

104224896 is an equidigital number, since it uses as much as digits as its factorization.

104224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90493 (or 90478 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104224896 is about 10209.0595061445. The cubic root of 104224896 is about 470.6056715500.

The spelling of 104224896 in words is "one hundred four million, two hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 90473 180946 271419 361892 542838 723784 814257 1085676 1447568 1628514 2171352 2895136 3257028 4342704 5790272 6514056 8685408 11580544 13028112 17370816 26056224 34741632 52112448 104224896