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104362496 = 29737787
BaseRepresentation
bin1100011100001…
…11001000000000
321021101011102122
412032013020000
5203204044441
614204503412
72405031560
oct616071000
9237334378
10104362496
1153a010a7
122ab4ab68
1318810374
14dc08da0
15926734b
hex6387200

104362496 has 80 divisors (see below), whose sum is σ = 245061696. Its totient is φ = 43462656.

The previous prime is 104362493. The next prime is 104362519. The reversal of 104362496 is 694263401.

It is not an unprimeable number, because it can be changed into a prime (104362493) 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, 132215 + ... + 133001.

Almost surely, 2104362496 is an apocalyptic number.

104362496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122530848).

104362496 is an abundant number, since it is smaller than the sum of its proper divisors (140699200).

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

104362496 is an frugal number, since it uses more digits than its factorization.

104362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 104362496 is about 10215.7963957785. The cubic root of 104362496 is about 470.8126817962.

The spelling of 104362496 in words is "one hundred four million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 787 896 1036 1184 1574 1792 2072 2368 3148 3584 4144 4736 5509 6296 8288 9472 11018 12592 16576 18944 22036 25184 29119 33152 44072 50368 58238 66304 88144 100736 116476 132608 176288 201472 203833 232952 352576 402944 407666 465904 705152 815332 931808 1410304 1630664 1863616 2820608 3261328 3727232 6522656 7454464 13045312 14908928 26090624 52181248 104362496