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412203552 = 25373131449
BaseRepresentation
bin11000100100011…
…011101000100000
31001201122002222020
4120210123220200
51321011003202
6104522541440
713133446425
oct3044335040
91051562866
10412203552
111a17506a2
12b6067880
1367525137
143ca5dd4c
15262c45bc
hex1891ba20

412203552 has 96 divisors (see below), whose sum is σ = 1107691200. Its totient is φ = 134184960.

The previous prime is 412203529. The next prime is 412203577. The reversal of 412203552 is 255302214.

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 (24).

It is an unprimeable number.

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, 917824 + ... + 918272.

It is an arithmetic number, because the mean of its divisors is an integer number (11538450).

Almost surely, 2412203552 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 412203552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553845600).

412203552 is an abundant number, since it is smaller than the sum of its proper divisors (695487648).

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

412203552 is a wasteful number, since it uses less digits than its factorization.

412203552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 412203552 is about 20302.7966546483. The cubic root of 412203552 is about 744.2244091239.

Adding to 412203552 its reverse (255302214), we get a palindrome (667505766).

The spelling of 412203552 in words is "four hundred twelve million, two hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 131 146 219 262 292 393 438 449 524 584 786 876 898 1048 1168 1347 1572 1752 1796 2096 2336 2694 3144 3504 3592 4192 5388 6288 7008 7184 9563 10776 12576 14368 19126 21552 28689 32777 38252 43104 57378 58819 65554 76504 98331 114756 117638 131108 153008 176457 196662 229512 235276 262216 306016 352914 393324 459024 470552 524432 705828 786648 918048 941104 1048864 1411656 1573296 1882208 2823312 3146592 4293787 5646624 8587574 12881361 17175148 25762722 34350296 51525444 68700592 103050888 137401184 206101776 412203552