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412896 = 253111723
BaseRepresentation
bin1100100110011100000
3202222101110
41210303200
5101203041
612503320
73336531
oct1446340
9688343
10412896
11262240
1217ab40
13115c23
14aa688
1582516
hex64ce0

412896 has 96 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 112640.

The previous prime is 412891. The next prime is 412901. The reversal of 412896 is 698214.

It is an interprime number because it is at equal distance from previous prime (412891) and next prime (412901).

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

Its product of digits (3456) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412891) by changing a digit.

412896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17941 + ... + 17963.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2412896 is an apocalyptic number.

412896 is a gapful number since it is divisible by the number (46) 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 412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

412896 is an abundant number, since it is smaller than the sum of its proper divisors (893472).

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

412896 is a wasteful number, since it uses less digits than its factorization.

412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 412896 is about 642.5698405621. The cubic root of 412896 is about 74.4640909179.

It can be divided in two parts, 4128 and 96, that added together give a palindrome (4224).

The spelling of 412896 in words is "four hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 23 24 32 33 34 44 46 48 51 66 68 69 88 92 96 102 132 136 138 176 184 187 204 253 264 272 276 352 368 374 391 408 506 528 544 552 561 736 748 759 782 816 1012 1056 1104 1122 1173 1496 1518 1564 1632 2024 2208 2244 2346 2992 3036 3128 4048 4301 4488 4692 5984 6072 6256 8096 8602 8976 9384 12144 12512 12903 17204 17952 18768 24288 25806 34408 37536 51612 68816 103224 137632 206448 412896