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6412992 = 263127263
BaseRepresentation
bin11000011101101011000000
3110001210222020
4120131223000
53120203432
6345241440
7105336525
oct30355300
913053866
106412992
1136901a3
122193280
131436c91
14bcd14c
1586a22c
hex61dac0

6412992 has 56 divisors (see below), whose sum is σ = 17166336. Its totient is φ = 2112768.

The previous prime is 6412981. The next prime is 6412993. The reversal of 6412992 is 2992146.

It is a super-2 number, since 2×64129922 = 82252932784128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6412993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24253 + ... + 24515.

Almost surely, 26412992 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 6412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583168).

6412992 is an abundant number, since it is smaller than the sum of its proper divisors (10753344).

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

6412992 is a wasteful number, since it uses less digits than its factorization.

6412992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 6412992 is about 2532.3885957728. The cubic root of 6412992 is about 185.7891007668.

The spelling of 6412992 in words is "six million, four hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 263 381 508 526 762 789 1016 1052 1524 1578 2032 2104 3048 3156 4064 4208 6096 6312 8128 8416 12192 12624 16832 24384 25248 33401 50496 66802 100203 133604 200406 267208 400812 534416 801624 1068832 1603248 2137664 3206496 6412992