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8425404100 = 22526721372
BaseRepresentation
bin1111101100011000…
…10111011011000100
3210202011212212121201
413312030113123010
5114223400412400
63512013352244
7415534516231
oct76614273304
923664785551
108425404100
113633a14893
121771798684
13a4370a819
1459cda2788
15344a2b06a
hex1f63176c4

8425404100 has 81 divisors (see below), whose sum is σ = 18696546183. Its totient is φ = 3295628160.

The previous prime is 8425404089. The next prime is 8425404107. The reversal of 8425404100 is 14045248.

The square root of 8425404100 is 91790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24581764 + 8400822336 = 4958^2 + 91656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8425404107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61499232 + ... + 61499368.

Almost surely, 28425404100 is an apocalyptic number.

8425404100 is the 91790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8425404100

8425404100 is an abundant number, since it is smaller than the sum of its proper divisors (10271142083).

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

8425404100 is a wasteful number, since it uses less digits than its factorization.

8425404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The cubic root of 8425404100 is about 2034.8399079609.

Adding to 8425404100 its reverse (14045248), we get a palindrome (8439449348).

The spelling of 8425404100 in words is "eight billion, four hundred twenty-five million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 137 268 274 335 548 670 685 1340 1370 1675 2740 3350 3425 4489 6700 6850 8978 9179 13700 17956 18358 18769 22445 36716 37538 44890 45895 75076 89780 91790 93845 112225 183580 187690 224450 229475 375380 448900 458950 469225 614993 917900 938450 1229986 1257523 1876900 2459972 2515046 3074965 5030092 6149930 6287615 12299860 12575230 15374825 25150460 30749650 31438075 61499300 62876150 84254041 125752300 168508082 337016164 421270205 842540410 1685080820 2106351025 4212702050 8425404100