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412992 = 2633239
BaseRepresentation
bin1100100110101000000
3202222112000
41210311000
5101203432
612504000
73340026
oct1446500
9688460
10412992
11262318
1217b000
13115c98
14aa716
158257c
hex64d40

412992 has 56 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 137088.

The previous prime is 412987. The next prime is 413009. The reversal of 412992 is 299214.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

412992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609 + ... + 1847.

2412992 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 412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).

412992 is an abundant number, since it is smaller than the sum of its proper divisors (806208).

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

412992 is a wasteful number, since it uses less digits than its factorization.

412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 412992 is about 642.6445362718. The cubic root of 412992 is about 74.4698615387.

It can be divided in two parts, 4 and 12992, that added together give a square (12996 = 1142).

The spelling of 412992 in words is "four hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 239 288 432 478 576 717 864 956 1434 1728 1912 2151 2868 3824 4302 5736 6453 7648 8604 11472 12906 15296 17208 22944 25812 34416 45888 51624 68832 103248 137664 206496 412992