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412010496 = 211337451
BaseRepresentation
bin11000100011101…
…100100000000000
31001201021022011000
4120203230200000
51320433313441
6104514452000
713132013532
oct3043544000
91051238130
10412010496
111a1629647
12b5b94000
13674882c1
143ca0d852
15262872b6
hex188ec800

412010496 has 96 divisors (see below), whose sum is σ = 1220637600. Its totient is φ = 137318400.

The previous prime is 412010483. The next prime is 412010519. The reversal of 412010496 is 694010214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51571 + ... + 59021.

It is an arithmetic number, because the mean of its divisors is an integer number (12714975).

Almost surely, 2412010496 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 412010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610318800).

412010496 is an abundant number, since it is smaller than the sum of its proper divisors (808627104).

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

412010496 is an equidigital number, since it uses as much as digits as its factorization.

412010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 412010496 is about 20298.0416789404. The cubic root of 412010496 is about 744.1082048658.

The spelling of 412010496 in words is "four hundred twelve million, ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 7451 9216 13824 14902 18432 22353 27648 29804 44706 55296 59608 67059 89412 119216 134118 178824 201177 238432 268236 357648 402354 476864 536472 715296 804708 953728 1072944 1430592 1609416 1907456 2145888 2861184 3218832 3814912 4291776 5722368 6437664 7629824 8583552 11444736 12875328 15259648 17167104 22889472 25750656 34334208 45778944 51501312 68668416 103002624 137336832 206005248 412010496